tag:blogger.com,1999:blog-18558120151979772762024-03-17T19:19:44.196+01:00AstrodemandaAsociación Astronómica Sierra de la Demanda (Burgos)AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.comBlogger124125tag:blogger.com,1999:blog-1855812015197977276.post-35845330924291166282024-03-17T19:19:00.000+01:002024-03-17T19:19:11.872+01:00... y así el Ramadán comenzó <p style="text-align: justify;"><span> </span>¿Y qué tiene que ver esto con la astronomía? ¿Me he equivocado de sitio? Me imagino que estas, o muy parecidas, serán las preguntas que se estén haciendo las personas que en estos momentos nos estén leyendo. Pero tranquilos que ya veréis que algo tiene que ver con los temas que habitualmente tratamos en este blog, dejad que os lo explique.</p><p style="text-align: justify;"><span> </span>Antes de nada quería comentar que estoy escribiendo estas líneas desde Italia, donde la comunidad islámica y el instituto en el que trabajo (<a href="http://www.inaf.it/en?set_language=en" target="_blank">INAF</a>, que recoge a nivel italiano la investigación en astrofísica, equivalente a nuestro <a href="https://www.csic.es/es" target="_blank">CSIC</a> pero sólo con astrónomos) firmaron un acuerdo de colaboración mediante el cual astrónomos del INAF se comprometían a dar una mano a dicha comunidad para establecer el inicio del Ramadán. ¿De qué manera? Muy sencillo: observando la luna.<br /></p><br /><div class="separator" style="clear: both; text-align: center;"><span style="font-size: x-small;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaO1Nyy-eiPp_-qLDHxswL5z5aw31jFTheb3OGtHq_MzN8CUtd-G9LqWHtK0S6vnjwjyeawypB1RCn50yQ2g1rtRHqQUyysMEWkyCRorUhL-2ZxcJbQyuIL6GX1I34-wz8EJGz9aM49gG9cR5baZj6X7mkKGrUcydnaa8WZZFZudnUD4AVhoBmlwY0R9IV/s4096/20240311_201950.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="3072" data-original-width="4096" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhaO1Nyy-eiPp_-qLDHxswL5z5aw31jFTheb3OGtHq_MzN8CUtd-G9LqWHtK0S6vnjwjyeawypB1RCn50yQ2g1rtRHqQUyysMEWkyCRorUhL-2ZxcJbQyuIL6GX1I34-wz8EJGz9aM49gG9cR5baZj6X7mkKGrUcydnaa8WZZFZudnUD4AVhoBmlwY0R9IV/w400-h300/20240311_201950.jpg" width="400" /></a></span></div><p style="text-align: center;"><span style="font-size: x-small;"><i> Telescopio apuntando a la luna nueva creciente</i></span><br /></p><p style="text-align: justify;"><span> </span>Para los musulmanes, el Ramadán es el periodo del año más sagrado. En él se conmemora la revelación del Corán a Mahoma por parte del ángel Gabriel. El Ramadán es el noveno mes del calendario islámico, que se trata de un calendario lunar compuesto por 12 meses de aproximadamente 29,5 días (la duración de una lunación). Esto hace que un año islámico tenga 354-355 días, siendo por tanto 10-11 días más corto que un año civil (regido por el calendario gregoriano). Esto hace que el inicio del Ramadán se vaya adelantando cada año estos mismos 10-11 días. </p><p style="text-align: justify;"><span> </span>El comienzo del mes tiene lugar en el momento que se observa el primer creciente de luna después de la luna nueva, y es ahí donde entramos nosotros. Según la tradición, no basta con recurrir a efemérides sino que este primer creciente de luna se debe observar visualmente para poder dar comienzo al nuevo mes. Así, al atardecer del pasado lunes día 11, desde distintos lugares del país llevamos a cabo una observación en directo de este primer creciente de luna para los principales imanes italianos que de esta manera pudieron dar oficialmente por iniciado su mes sagrado. </p><p style="text-align: justify;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyFlgw0WTQ6y1ChmWvh8Ji-IbgIL6XQSjvAduOjy11-v66BxwLXSc0tCvGTIuLt-v-q_iDrB7n2qpkg2ulXCxKDsUjWiG8xz8XxH9uBP7jS83JZQDgjSdioXd-8S8v4X6dCIqORUdXFtF-4Tt0_D7jQ4qpUvCYRtc9QJtBSA0CBstGsHp0MfS_JsbrYt6t/s2418/luna_1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2206" data-original-width="2418" height="365" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyFlgw0WTQ6y1ChmWvh8Ji-IbgIL6XQSjvAduOjy11-v66BxwLXSc0tCvGTIuLt-v-q_iDrB7n2qpkg2ulXCxKDsUjWiG8xz8XxH9uBP7jS83JZQDgjSdioXd-8S8v4X6dCIqORUdXFtF-4Tt0_D7jQ4qpUvCYRtc9QJtBSA0CBstGsHp0MfS_JsbrYt6t/w400-h365/luna_1.jpg" width="400" /></a></div><p></p><p style="text-align: center;"><i><span style="font-size: x-small;"> Luna nueva creciente centrada en la parte visible (por eso es tan oscura a pesar de hacerse al atardecer)</span></i><br /></p><p> </p><p style="text-align: justify;"><span> </span>Como explicamos siempre en nuestras observaciones públicas, el cielo ha sido siempre, y de manera natural, reloj y calendario para todas las civilizaciones. Por poner un ejemplo más cercano, en nuestra cultura cristiana, la celebración de la fiesta más importante, el Domingo de Resurrección (Pascua), no tiene asignada una fecha fija sino que desde el concilio de Nicea (allá por el año 325) se celebra el domingo
siguiente a la primera luna llena tras el equinoccio de primavera. Esto hace que, como ya sabemos, la Semana Santa no caiga siempre en la misma fecha, pudiendo celebrarse tanto en marzo como en abril. De hecho, históricamente el calendario litúrgico ha sido más importante que el civil, lo que ha llevado a impulsar reformas como la gregoriana para ajustar el calendario civil y corregir el desfase con el año solar (trópico). De esta manera en 1582 se perdieron 10
días y se pasó del jueves 4 de octubre (del antiguo <a href="https://es.wikipedia.org/wiki/Calendario_juliano" target="_blank">calendario juliano</a>) al viernes 15 de
octubre (ya en el actual <a href="https://es.wikipedia.org/wiki/Calendario_gregoriano" target="_blank">calendario gregoriano</a>). </p><p style="text-align: left;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDd0y1anWnZ_nRNQ5skkYhyZ1hSIcD-OZTBNU5CJnHVi2Oo9W0NHiEN4unczM0uhGzJDLJiM5zatwOdzpndg2qjTcpTZh21EZsnSXL35Cl78PRAAbyTkWia7Ix1yqjahHnwDoWfvpqjJnNO0VEuRYIq3TieMikoYmPSErACA_J-LrQYQtmMoY6SASulqah/s4344/20240312_023928.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2896" data-original-width="4344" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDd0y1anWnZ_nRNQ5skkYhyZ1hSIcD-OZTBNU5CJnHVi2Oo9W0NHiEN4unczM0uhGzJDLJiM5zatwOdzpndg2qjTcpTZh21EZsnSXL35Cl78PRAAbyTkWia7Ix1yqjahHnwDoWfvpqjJnNO0VEuRYIq3TieMikoYmPSErACA_J-LrQYQtmMoY6SASulqah/w400-h266/20240312_023928.jpg" width="400" /></a></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Disco lunar iluminado por la luz cenicienta durante la luna nueva creciente</i></span><br /></p><p> </p><p style="text-align: justify;"><span> </span>Desde el mero punto de vista astronómico debo decir que ha sido una experiencia bastante interesante, ya que nunca había
intentado capturar la menor fase de luna posible. Nosotros
no llegamos a verla de día porque, además de la dificultad de tener
todavía el Sol en el cielo, tuvimos nubes sobre el horizonte. Por
suerte, apenas se puso el Sol esa parte del cielo se despejó y pudimos
ver la luna, apenas iluminada un 2%, y fotografiarla. A medida que se
hacía de noche el contraste con el cielo era mayor, lo que hacía muy
sencillo verla a simple vista.</p><p style="text-align: justify;"><span> </span>A nivel personal estoy contento por haber podido participar en esta actividad, doble ejemplo de colaboración y acercamiento entre culturas y ciencia y religión. <br /></p><p><br /><br /></p><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-86468442490818935452024-01-04T19:47:00.000+01:002024-01-04T19:48:02.781+01:00Ocultación de Betelgeuse<p style="text-align: justify;"><span> </span>Comenzamos el año hablando de un <b><span style="color: #783f04;">fenómeno astronómico muy poco frecuente</span></b>, que sucedió hace unas semanas (la noche del 11 al 12 de diciembre) y que difícilmente volverá a producirse en los próximos años: la <b><span style="color: #783f04;">ocultación de Betelgeuse por el asteroide (319) Leona</span></b>.<br /></p><p style="text-align: justify;"><span> </span>Las <b><span style="color: #783f04;">ocultaciones asteroidales</span></b>,
es decir, cuando se da la casualidad de que desde nuestra línea de visión, un asteroide pasa justo por
delante de una estrella, son la mejor manera de estudiar las <b><span style="color: #783f04;">propiedades físicas del asteroide</span></b>. Tenemos que tener en cuenta que estos cuerpos, generalmente <a href="https://es.wikipedia.org/wiki/Objeto_transneptuniano">TNOs</a>, son objetos muy pequeños (como máximo de algún centenar de kilómetros) que se encuentran a una gran distancia (a partir de las 30-40 UA), por lo que son difíciles de observar directamente con precisión, incluso con grandes telescopios. </p><p style="text-align: justify;"> </p><p style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4wkfv7YfnH-AbVpQ2Aemf7Io5WHPoMR-yAF5j8f3jTLxtDJgU4xa2IRfqdnafrMiMQEhAPnSx-1zSDhKsPTVwyP9uKPcvlHGeSqULUZHZpOV1msp5CA9qCRWVYn6XCdd1rXm329LdctxfJW75LvhUcwRLqdAj16kBzx5wi11TTswGDtdaCvN1DBWEu4NB/s3888/_MG_4428_.JPG" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="2592" data-original-width="3888" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi4wkfv7YfnH-AbVpQ2Aemf7Io5WHPoMR-yAF5j8f3jTLxtDJgU4xa2IRfqdnafrMiMQEhAPnSx-1zSDhKsPTVwyP9uKPcvlHGeSqULUZHZpOV1msp5CA9qCRWVYn6XCdd1rXm329LdctxfJW75LvhUcwRLqdAj16kBzx5wi11TTswGDtdaCvN1DBWEu4NB/w400-h266/_MG_4428_.JPG" width="400" /></a></div><p></p><p style="text-align: center;"><i><span style="font-size: x-small;">Apuntando el telescopio hacia Betelgeuse (en rojo) momentos antes del comienzo de la ocultación. La familiar figura de Orión es fácilmente reconocible asomando por encima del olivo.</span></i></p><p style="text-align: center;"><i><span style="font-size: x-small;"> </span></i><br /></p><p style="text-align: justify;"><span> </span>Este tipo de ocultaciones <b><span style="color: #783f04;">no son fenómenos muy habituales</span></b> y son difíciles de predecir con una
cierta antelación, ya que se requiere un buen conocimiento de la astrometría de la estrella y sobretodo de la órbita del asteroide. Lo que vemos en estos casos no es el asteroide en sí, generalmente muchísimo más débil que la estrella, sino el efecto que su paso produce en la luz que nos llega de esta última. En el momento en que el asteroide empieza a transitar por delante de la estrella, tapa una pequeña fracción de ésta, haciendo que su luminosidad comience a disminuir. En general esta caída de luz no suele ser muy grande y la duración del fenómeno es muy breve, en el mejor de los casos, unos pocos segundos. </p><p style="text-align: justify;"><span> </span>Al igual que ocurre con un eclipse solar, <b><span style="color: #783f04;">la visibilidad de la ocultación queda restringida a una pequeña franja del planeta</span></b>, allá donde se proyecta la sombra del asteroide. En el caso de la ocultación de Betelgeuse la mejor zona para observarla era Europa, donde el fenómeno se producía pasadas las 2 de la mañana, con la estrella bastante alta en el cielo. El grupo más importante de observadores se desplazó al sur de España (desde Sevilla a Alicante) aunque también hubo un grupo importante en el sur de Italia, del que formé parte.</p><p style="text-align: justify;"><br /></p><div class="separator" style="clear: both; text-align: center;"></div><div style="text-align: center;"><i><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrockGmQCLBuaf-j2g3SRM6jGDbvPrMnhEzp80tLTyDlV_MxI8RaaS5TvZTR43T0Cz8HZedK1OTC_bQHUY2ABKRcvAl0kxm23IkLXDk7jsHYBualGMs8Ah2Td0bV0Wx7uzVcYVm3RZC9qiLL5IJJzGdKHw-nhC8_B8tsEQAfrKUziUV-4vwhwzBWoSc0U5/s1840/ocult2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1840" data-original-width="1512" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrockGmQCLBuaf-j2g3SRM6jGDbvPrMnhEzp80tLTyDlV_MxI8RaaS5TvZTR43T0Cz8HZedK1OTC_bQHUY2ABKRcvAl0kxm23IkLXDk7jsHYBualGMs8Ah2Td0bV0Wx7uzVcYVm3RZC9qiLL5IJJzGdKHw-nhC8_B8tsEQAfrKUziUV-4vwhwzBWoSc0U5/w526-h640/ocult2.jpg" width="526" /></a></div><span style="font-size: x-small;"> <br /></span></i></div><div style="text-align: center;"><i><span style="font-size: x-small;">En la parte superior se muestra la franja de visibilidad de la ocultación sobre Europa. La línea azul marca el centro del fenómeno donde se produce la máxima duración mientras que las líneas violetas marcan los límites de la ocultación, más allá de los cuales no es posible observar el fenómeno. En rojo la zona de Calabria, en Italia, desde donde observamos nosotros. En la parte inferior se muestra en detalle la distribución de los observadores italianos (en amarillo). Aquí sólo se muestra la línea de la centralidad (verde) con sus errores (morado). </span></i><br /></div><div><p><br /></p><p></p><p style="text-align: justify;"><span> </span>Como decíamos al principio, los protagonistas de nuestra ocultación son Betelgeuse y <span style="color: #783f04;"><b>(319) Leona</b></span>, un <b><span style="color: #783f04;">asteroide del cinturón principal</span></b> con una forma elipsoidal cuyo diámetro se sitúa en torno a 60x80 km. Por su parte, <span style="color: #783f04;"><b>Betelgeuse es una de las estrellas más brillantes y conocidas del cielo</b></span>, fácilmente reconocible en la constelación de Orión por su color rojizo de la que ya hablamos en <a href="http://astrodemanda.blogspot.com/2020/03/la-astronomia-en-los-tiempos-de-la.html">anteriores entradas</a> durante la pandemia. Seguramente será la próxima supernova que explote en nuestra galaxia, algo espectacular pero que, (casi) con toda probabilidad, no llegaremos a ver.<br /></p><p style="text-align: justify;"><span style="color: #783f04;"><b><span> </span>Lo particular de esta ocultación</b></span>, más allá de que se vea afectada una estrella tan brillante, es que se da la casualidad de que<span style="color: #783f04;"><b> ambos cuerpos muestran un tamaño aparente en el cielo muy similar</b></span>, lo que <span style="color: #783f04;"><b>convierte a este fenómeno en un eclipse</b></span> más que en una ocultación normal. Esto nos va a permitir no solo el estudio del asteroide sino también el de la estrella. Por un lado podremos obtener una <span style="color: #783f04;"><b>astrometría de precisión para Betelgeuse</b></span>, algo difícil de hacer con los telescopios habituales (por ejemplo Gaia) al tratarse de una estrella muy brillante que aparece saturada en estos cartografiados. Por otro lado <span style="color: #783f04;"><b>mediante el estudio de la curva de luz en diferentes filtros podremos realizar una especie de "interferometría"</b></span> para estudiar posibles detalles (grandes células convectivas) de la superficie de la estrella así como del material expulsado a su alrededor. Hay que tener en cuenta que, por ejemplo, el tamaño de Betelgeuse en el azul es mayor que en el rojo, luego la duración y profundidad del fenómeno será distinta según el filtro que utilicemos.</p><p style="text-align: justify;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBMLBQR0sVG-khP8hYW63vk2I2usgYyTfDJn6ifgk2KiK8FPr0U_39DAi7HPh3vTzp1izB4kzfnkHnBSKr3qcMhV0vlpxN26QgJwsawZfWuzXk1S_3TM0-g3HIifQZl0SGrDtrv5DJHURFfUrQWeygRjlo2wSLJGO291GdZoOGGVrgnxkEFfOkC_I-e2-t/s4608/20231212_010139.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="3456" data-original-width="4608" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhBMLBQR0sVG-khP8hYW63vk2I2usgYyTfDJn6ifgk2KiK8FPr0U_39DAi7HPh3vTzp1izB4kzfnkHnBSKr3qcMhV0vlpxN26QgJwsawZfWuzXk1S_3TM0-g3HIifQZl0SGrDtrv5DJHURFfUrQWeygRjlo2wSLJGO291GdZoOGGVrgnxkEFfOkC_I-e2-t/w400-h300/20231212_010139.jpg" width="400" /> </a></div><div class="separator" style="clear: both; text-align: center;"> </div><div style="text-align: center;"><span style="font-size: x-small;"><i>Campo de observación con el apo en primer plano y el mak en la parte de atrás. <br /></i></span></div><div style="text-align: center;"><br /></div></div><div><p style="text-align: justify;"><span> </span>En este tipo de observaciones lo<span style="color: #783f04;"><b> importante es cubrir bien toda la franja de visibilidad</b></span> (de norte a sur) de manera que podamos caracterizar adecuadamente el fenómeno en su totalidad. Observaciones aisladas en este caso no son muy importantes. En la parte italiana nos juntamos una veintena de observadores que, <b><span style="color: #783f04;">coordinados</span></b> maravillosamente por Alfonso Noschese y Massimo Corbisiero (de <a href="https://www.astrocampania.it/">AstroCampania</a>), nos situamos en la costa jónica distribuidos uniformemente en diferentes cuerdas (lugares) a lo largo de la franja. Para estudiar la <span style="color: #783f04;"><b>cromaticidad del fenómeno</b></span>, siempre que se pudo, en cada cuerda se observó con varios filtros. En nuestro caso usamos dos telescopios: un Maksutov-Cassegrain de 127 mm, con una cámara Moravian C4 y filtro R (Cousin) y un refractor apocromático de 115 mm con una ASI 290 MM y filtro B (Jonhson).<br /></p><p style="text-align: justify;"><span> </span>En el mundo de las ocultaciones <b><span style="color: #783f04;">se requiere una gran resolución temporal</span></b> y por ello la técnica utilizada es muy diferente a la que usamos habitualmente para hacer astrofotografía u otro tipo de observaciones. La ocultación se registra en vídeo con la mayor tasa de imagénes por segundo (fps). Posteriormente se descompone el vídeo en sus <i>frames</i>, en los que previamente, durante la grabación, se ha insertado el tiempo en el que fueron tomados con una precisión lo más cercana posible a la milésima de segundo. En cada imagen se analiza el brillo de la estrella (por una sencilla <a href="https://www.aavso.org/sites/default/files/publications_files/ccd_photometry_guide/CCDPhotometryGuide-Spanish/SpanishPhotometryGuide-Chapter5.pdf">fotometría de apertura</a>) y analizando su variación a lo largo del tiempo, obtenemos la <span style="color: #783f04;"><b>curva de luz</b></span> del fenómeno:<br /></p><p style="text-align: justify;"> </p></div><div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLHgcH4lJCaJYtSOy_UL1dprETwMlcJUP_csDrd-VRasm5ZOXQpO23NQm6Y2ZEgqY7I5xWRTpu3lJH5Uu1kx2eS-0LcMtw8dxIzGYhpa1TB46x20nMUBw1YW_lRjHmUCxEsnTd9lNb1wCnxrhXj7LV02cDPIbHPBNwMHOiho9LnY7xruK72wNn-XHRwCr6/s704/Betelgeuse_JAS.bmp" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="408" data-original-width="704" height="232" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLHgcH4lJCaJYtSOy_UL1dprETwMlcJUP_csDrd-VRasm5ZOXQpO23NQm6Y2ZEgqY7I5xWRTpu3lJH5Uu1kx2eS-0LcMtw8dxIzGYhpa1TB46x20nMUBw1YW_lRjHmUCxEsnTd9lNb1wCnxrhXj7LV02cDPIbHPBNwMHOiho9LnY7xruK72wNn-XHRwCr6/w400-h232/Betelgeuse_JAS.bmp" width="400" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i> </i></span></div><div style="text-align: center;"><span style="font-size: x-small;"><i>Curva de luz suavizada de la ocultación obtenida en filtro B con el refractor.<br /></i></span></div><div style="text-align: justify;"><span style="font-size: x-small;"><i> </i></span></div><div style="text-align: justify;"><span style="font-size: x-small;"><i> </i></span></div><div style="text-align: justify;"><span> </span><b><span style="color: #783f04;">Técnicamente</span></b> lo más <b><span style="color: #783f04;">difícil</span></b> era elegir un <span style="color: #783f04;"><b>tiempo de exposición</b></span> adecuado, de <span style="color: #783f04;"><b>pocos milisegundos</b></span>, para <b><span style="color: #783f04;">no saturar Betelgeuse</span></b>, pero al mismo tiempo obtener un número suficiente de imágenes para medir con precisión la ocultación. La tarea no era trivial ya que Betelguese además de ser tan brillante titila mucho, por lo que tuvimos que hacer varias pruebas los días anteriores con telescopios pequeños y cámaras lo más rápidas posibles. </div><div style="text-align: justify;"> </div><div style="text-align: justify;"><span> </span>En reuniones preparativas <b><span style="color: #783f04;">se habló de que Betelgeuse podría "desaparecer"</span></b> (literalmente) durante poco más de 10 segundos del cielo, ya que, en el caso más favorable, la caída de luz podría estar entre las 6-8 magnitudes. La realidad es que <b><span style="color: #783f04;">a simple vista no percibimos ninguna variación</span></b><span style="color: #783f04;"><b> significativa</b></span>, aunque hay que tener en cuenta que la ocultación se adelantó unos 40 segundos respecto a las previsiones y que minutos antes Orión estaba cubierto por nubes pasajeras ... aunque cuando ya esperábamos lo peor tuvimos suerte y se volvió a quedar despejado.</div><div style="text-align: justify;"> </div><div style="text-align: justify;"><span> </span>La <b><span style="color: #783f04;">forma en V de la curva de luz</span></b> (sin zona plana en el mínimo) ya nos está indicando que no se produjo un <b><span style="color: #783f04;">eclipse</span></b> total como nos hubiera gustado, sino que se trató de uno<span style="color: #783f04;"><b> parcial</b></span> (o incluso anular). <span style="color: #783f04;"><b>La duración se situó en torno a los 11 segundos y la profundidad de la ocultación fue algo más de una magnitud</b></span> (resultado todavía preliminar a partir de nuestras observaciones), lejos de la idea que teníamos cuando nos decidimos a montar la expedición para observarla, aunque debo decir que estoy muy contento de haber participado en este proyecto.<br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><span> </span>Dentro del marco de ciencia ciudadana, se creó el proyecto <a href="https://starblink.org/">StarBlink</a> para involucrar a la gente a observar la ocultación. En dicho proyecto se creó <a href="https://starblink.org/occult_simulator">este simulador</a> muy intuitivo para entender cómo cambia la curva de luz según varían los tamaños de Betelgeuse y Leona o la distancia del observador a la línea de la centralidad. En las próximas semanas, a partir del análisis de las distintas curvas de luz, teniendo en cuenta tanto los filtros utilizados como la posición de cada observador, se empezarán a publicar los primeros resultados científicos de la ocultación, que compartiremos con nuestros lectores en este mismo blog.<br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><b style="color: #783f04;">Desde AstroDemanda queremos desear a todos nuestros lectores un ¡muy feliz y próspero 2024!</b><br /></div><div style="text-align: justify;"> </div><div style="text-align: justify;"> <br /><p style="text-align: justify;"><br /></p></div><br /></div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-27114977498458441512023-11-21T03:33:00.002+01:002023-11-26T14:33:19.494+01:00Algo raro en el cielo<p style="text-align: justify;"><span> </span>A lo largo de nuestra vida son muchas las horas que los astrónomos nos pasamos observando y disfrutando de las maravillas que nos ofrece el cielo nocturno y es por eso que lo conocemos tan bien. Nos basta una rápida mirada para ubicarnos y localizar las principales constelaciones y los planetas y en seguida percibimos cuando algo no cuadra, lo cual es muy raro que suceda. Sin embargo, precisamente esto último es lo que ocurrió el sábado pasado, dejándonos bastante sorprendidos. </p><p style="text-align: justify;"><span> </span>Acababa de atardecer y en nuestro Complejo algunos socios estaban ya terminando de preparar los equipos o directamente empezando con las primeras observaciones de la noche. De repente alguien gritó: ¡Mirad ahí! ¿Qué es eso? Lo primero que pensamos fue en una especie de nube rara, grande y brillante que cubría una parte importante del cielo, ¿una <a href="https://es.wikipedia.org/wiki/Nube_mesosf%C3%A9rica_polar">nube noctilucente</a>? No parecía, y además se veían como restos de un cohete o algo similar que se me movía alrededor, como cayendo. La segunda opción fue la reentrada en la atmósfera de la <a href="https://elpais.com/ciencia/2023-11-18/segundo-lanzamiento-del-starship-de-spacex.html">Starship</a>, aunque tampoco acaba de cuadrarnos porque había sido lanzada a las 14 de la tarde, por tanto, varias horas antes.<br /></p><p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz82UgF-cwBwsDQrw_Lg-gNqVJXqQr_1m9_l5cfK2hoFoWgoQckUeCAyAHqcXyAf124U9VkPBRX9uVYPIiGM8oHa_jB3nocdSh0kQ-Wo1-AoI45WxqG48uUiwrPycSktlZczP2aJtFNSlVyAbEspfpZ2S0MDTo9tzYTOdv43i8H7K4tLPfhx0aIwmRgaod/s4943/IMG_4047.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="3044" data-original-width="4943" height="246" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz82UgF-cwBwsDQrw_Lg-gNqVJXqQr_1m9_l5cfK2hoFoWgoQckUeCAyAHqcXyAf124U9VkPBRX9uVYPIiGM8oHa_jB3nocdSh0kQ-Wo1-AoI45WxqG48uUiwrPycSktlZczP2aJtFNSlVyAbEspfpZ2S0MDTo9tzYTOdv43i8H7K4tLPfhx0aIwmRgaod/w400-h246/IMG_4047.jpg" width="400" /> </a></div><div class="separator" style="clear: both; text-align: center;"><i><span style="font-size: x-small;">Así vimos desde Quintanarraya los restos del misil francés lanzado el pasado 18 de noviembre</span></i><br /></div> <p></p><p style="text-align: justify;"><span> </span>A los pocos minutos, tal y como empezó el fenómeno, desapareció, dejándonos con las dudas de lo que habíamos visto. La respuesta llegaría poco tiempo después por las redes sociales y por diversos medios digitales: se trató de los <a href="https://www.lavanguardia.com/participacion/las-fotos-de-los-lectores/20231119/9389509/mira-como-vio-espana-resplandor-prueba-misil-balistico-francia.html"><b>restos de un misil balístico de largo alcance lanzado por Francia</b></a> en el marco de su programa nuclear (eso sí, no llevaba carga atómica). Al menos por lo que se refiere a la parte "astronómica" estamos más tranquilos al conocer el origen de este extraño fenómeno, <i>nada nuevo bajo el Sol</i>, nunca mejor dicho. Sin embargo, es la otra cara de la moneda, la militar y la actual situación geopolítica a nivel mundial la que me preocupa algo más ... <br /></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;"><br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-19452957862183705272023-09-09T21:24:00.000+02:002023-09-09T21:24:00.587+02:00Un cometa esquivo ... pero interesante<p style="text-align: justify;"><span> </span>Hasta que me he puesto a escribir esta entrada no sabía si merecía la pena hacerlo o no. Me explico. Hace casi un mes el astrónomo amateur japonés <a href="https://es.wikipedia.org/wiki/Hideo_Nishimura">Hideo Nishimura</a> descubrió el <span style="color: #783f04;"><b>cometa C/2023 P1</b></span>, que lleva su nombre. Se trata de un cuerpo que se encuentra muy cerca del Sol, lo que dificulta tremendamente su observación. En condiciones normales no merecería mucho la pena madrugar (o aguantar la noche entera observando como hemos hecho nosotros) para observarlo. Lo que pasa es que enseguida se vio que podría llegar a ser <b><span style="color: #783f04;">suficientemente brillante para ser visible a simple vista</span></b>.</p><p style="text-align: justify;"> <br /></p><p></p><div class="separator" style="clear: both; text-align: justify;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiThbWP-xlYXidsFD7F04JczDxlBU2tL2WCU9rQmoqXZe0v48k-2T5P8uqtWbvRNdAHkJ49H_5ZdhiSvGR_v384sKJ-8UHzKAspPJodVUOWEelZc_kvN6D76fhM53Ke6qNsWOBU9SQfrf2qcJQQ3wuVOkwPoekNj2RS9plLzw0tqZwIGPKEhB086GZw1U3n/s1845/recorte_nishimura.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1513" data-original-width="1845" height="328" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiThbWP-xlYXidsFD7F04JczDxlBU2tL2WCU9rQmoqXZe0v48k-2T5P8uqtWbvRNdAHkJ49H_5ZdhiSvGR_v384sKJ-8UHzKAspPJodVUOWEelZc_kvN6D76fhM53Ke6qNsWOBU9SQfrf2qcJQQ3wuVOkwPoekNj2RS9plLzw0tqZwIGPKEhB086GZw1U3n/w400-h328/recorte_nishimura.jpg" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><i><span style="font-size: x-small;">Así vimos el Nishimura desde Quintanarraya al amanecer del día 24, cuando se encontraba en torno a la 9,5 mag. </span></i><br /></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: justify;"><span> </span>Aunque llegamos a observarlo por primera vez apenas diez días después de su descubrimiento, estaba todavía débil y el hecho de observarlo con un cielo que ya empezaba a clarear no ayudaba mucho. Lo pudimos ver con unos grandes prismáticos (25x100) y un Dobson de 40 cm, pero apenas mostraba actividad y parecía un cúmulo globular.<br /></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: justify;"><span> </span>Desde entonces el <b><span style="color: #783f04;">Nishimura</span></b>, según ha seguido acercándose al Sol, ha ido aumentando de brillo y se encuentra ya en magnitud 4,5. Si se cumplen los pronósticos se espera que, al alcanzar su perihelio el día 17, <b><span style="color: #783f04;">podría alcanzar la 2,5 mag</span></b>, ¡nada mal! claramente visible a simple vista y un espectáculo para unos prismáticos típicos 10x50.<br /></div><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU_xboQg3CueQsyFCgg3UoqkqJi-VQwVmHFaTInvyuUOomcx9a1WGT49wWUAiHKFn3xNStA6KOyXfi57yPPAFF9sn1-GGF5hel_jwy3TRbClxTvPNOE-v19YkjpchCIxaqkyXn24fBOll1MrvcRHrbWLI33RoW8MC_kcD8SL_ALAJeMqCmpqHG-aHRIp04/s1024/predicciones_nishimura.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="724" data-original-width="1024" height="283" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU_xboQg3CueQsyFCgg3UoqkqJi-VQwVmHFaTInvyuUOomcx9a1WGT49wWUAiHKFn3xNStA6KOyXfi57yPPAFF9sn1-GGF5hel_jwy3TRbClxTvPNOE-v19YkjpchCIxaqkyXn24fBOll1MrvcRHrbWLI33RoW8MC_kcD8SL_ALAJeMqCmpqHG-aHRIp04/w400-h283/predicciones_nishimura.png" width="400" /></a></div><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Evolución del brillo del cometa y predicciones actualizadas para los próximos días.</i></span></p><p> </p><p style="text-align: justify;"><span> </span>Parece ser que el Nishimura es un cometa periódico, que completa cada órbita en unos 500 años. Esto es importante porque indicaría que este no es su primer paso por el perihelio, por lo que el núcleo podría ser suficientemente compacto como para no destruirse y ofrecernos un buen espectáculo. En la actualidad, como se puede ver en las fotos que siguen, el cometa <b><span style="color: #783f04;">h</span><span style="color: #783f04;">a desarrollado una cola de varios grados</span></b> que lo hacen fácilmente visible. El gran problema es, que como decíamos al principio, cada vez se acerca más al Sol, por lo que su visibilidad se ve reducida a una franja muy breve de tiempo, primero momentos antes del amanecer y en breve, justo después del atardecer.<br /></p><p> <br /></p><p style="text-align: center;"> <img alt="" height="640" src="https://www.spaceweather.com/images2023/08sep23/canarycomet_strip.jpg" width="451" /></p><p style="text-align: center;"><i><span style="font-size: x-small;"> Así se veía esta madrugada el cometa desde Gran Canaria, aspecto que debería mantenerse durante los próximos días (Frank A. Rodríguez).</span></i></p><p style="text-align: justify;"><i><span style="font-size: x-small;"> </span></i><br /></p><p style="text-align: justify;"></p><div class="separator" style="clear: both;"></div><div class="separator" style="clear: both;"><span> </span> </div><div class="separator" style="clear: both; text-align: justify;"><span> </span>En esta ocasión no mostramos una carta de localización para encontrarlo porque, para observarlo en los próximos días, <b><span style="color: #783f04;">basta mirar al cielo (muy claro, prácticamente ya sin estrellas) en la dirección del Sol, poco antes de que salga y se ponga</span></b> (sobretodo los días antes del 17), y buscarlo en dirección NO, en la constelación de Leo. ¡Buena suerte! <br /></div><p></p><p></p><p style="text-align: center;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwbDql78YpVruJUQegA8wgsTJNm5_4NIJEGpMg6iTtgmY23IkT4osIX9l6j4fOXjyLhn_AvVp2AHM9vVdZcdLFU-YRMs8e4LypvcE0m8IESR3UiSYZ4VWoqPKOY9xB80kKsS6vpDGmJttivOZCeOTwi0vYcxmSjnzYDzNul-JdM8GXPA9Bb46RoXsb-C1_/s1777/Michael-Jaeger-2023P1sep2UT240_1693637747.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="948" data-original-width="1777" height="342" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwbDql78YpVruJUQegA8wgsTJNm5_4NIJEGpMg6iTtgmY23IkT4osIX9l6j4fOXjyLhn_AvVp2AHM9vVdZcdLFU-YRMs8e4LypvcE0m8IESR3UiSYZ4VWoqPKOY9xB80kKsS6vpDGmJttivOZCeOTwi0vYcxmSjnzYDzNul-JdM8GXPA9Bb46RoXsb-C1_/w640-h342/Michael-Jaeger-2023P1sep2UT240_1693637747.gif" width="640" /></a><span style="font-size: x-small;"><i> </i></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-size: x-small;"><i> El día 2 de septiembre, una eyección de masa coronal proveniente del Sol golpeó el cometa, arrancando parte de su cola. El astrónomo austriaco Michael Jaeger lo captó en esta espectacular imagen.</i></span><br /></div><p></p><p> </p><p> </p><p> <br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-11484669412028761602023-08-19T12:31:00.000+02:002023-08-19T12:31:20.753+02:00AstroDemanda colabora con la ESA en el estudio de los planetas extrasolares<p style="text-align: justify;"><span> </span>Aunque el título de esta entrada pueda parecer algo exagerado no deja de ser real. <b><span style="color: #783f04;">Los aficionados</span></b>, con nuestros equipos y, sobretodo, nuestra disponibilidad, <span style="color: #783f04;"><b>podemos aportar datos útiles con valor científico que ayuden a los astrofísicos</b></span>.</p><p style="text-align: justify;"><span> </span>Desde <b><span style="color: #783f04;">AstroDemanda ya colaboramos anteriormente en proyectos Pro-Am</span></b> para medir y estudiar la evolución de la oscuridad de nuestros cielos y la búsqueda y caracterización de nuevas estrellas dobles. En esta ocasión describimos nuestra participación en el <a href="https://www.exoclock.space/" target="_blank">proyecto ExoClock</a>.<br /></p><p style="text-align: center;"> <img alt="Exoclock logo" class="large-image featured-image large-image" height="400" src="https://www.ucl.ac.uk/planetary-sciences/sites/planetary_sciences/files/styles/large_image/public/news-exoclock-ariel-logo.png?itok=Na1yE_KD" width="640" /> <br /></p><p style="text-align: justify;"><span> </span>La <a href="https://www.esa.int/" target="_blank">Agencia Espacial Europea</a> (ESA por sus siglas en inglés) ha aprobado la misión espacial <a href="https://arielmission.space/" target="_blank">Ariel</a> (acrónimo de <i>Atmospheric Remote-sensing Infrared Exoplanet Large-survey</i>), que, si todo va bien, será lanzada en 2029. Se trata de un pequeño telescopio de 1 m de diámetro que estará situado en el punto L2 de Lagrange. En sus 4 años de vida nominal <b><span style="color: #783f04;">Ariel pretende estudiar con gran detalle</span></b> una muestra considerable de exoplanetas, un millar, lo que prácticamente representa <b><span style="color: #783f04;">uno de cada cinco planetas extrasolares conocidos</span></b>. A partir de observaciones fotométricas (tránsitos) y espectroscópicas, tanto en el visible como en el infrarrojo, Ariel determinará la composición química de sus atmósferas y ayudará a entender, como nunca hasta ahora, procesos complejos como la formación y evolución de los sistemas planetarios o la interacción entre planeta(s) y estrella.<br /></p><p style="text-align: justify;"><span> </span>El <span style="color: #783f04;"><b>proyecto ExoClock nace para dar apoyo y preparar la misión Ariel</b></span> antes de su entrada en funcionamiento. La idea es reunir el mayor número de observaciones de tránsitos de exoplanetas hasta el lanzamiento de Ariel de tal manera que nos ayuden a mejorar al máximo el conocimiento de los mismos. De esta forma se podrán calcular efemérides mucho más precisas, lo que ayudará considerablemente en la selección final de los objetos que observará Ariel. También será de gran importancia, una vez que la misión vea su primera luz, para optimizar el tiempo de observación y su posterior explotación científica.</p><p style="text-align: justify;"><span> </span><b><span style="color: #783f04;">Cualquier aficionado con un telescopio y una cámara CCD (o CMOS) puede unirse al proyecto</span></b> y empezar a realizar observaciones. Aunque telescopios mayores aportarán mejores curvas de luz, diámetros modestos a partir de 15 cm ya permiten la detección de los tránsitos más sencillos. El uso de filtros es aconsejable pero no indispensable. Dado que los planetas son mucho más fríos que sus estrellas, la diferencia de brillo entre ambos será algo menor a longitudes de ondas rojas e infrarrojas, por lo que sería mucho mejor observar en <i>R</i> o <i>I</i> que en <i>B</i> o <i>V</i>. <br /></p><p style="text-align: center;"> </p><p style="text-align: center;"><img 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" style="border: 1px solid black; width: 100%;" /></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Tránsito realizado con un típico telescopio de aficionado (Celestron SC de 20 cm) y una cámara CMOS (Moravian C4 1600EC). La magnitud V de la estrella era de 11,7; la profundidad del tránsito, 10,7 mmag y su duración de 3,11 h.<br /></i></span></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;"><span> </span><b><span style="color: #783f04;">En la propia <a href="https://www.exoclock.space/" target="_blank">web</a> del proyecto, una vez registrados, tenemos disponible toda la información necesaria</span></b> para comenzar: material sobre exoplanetas, consejos para observar o directamente las efemérides con los tránsitos adecuados para nuestro telescopio cada noche. La reducción de los datos se puede llevar a cabo por cada observador como mejor prefiera pero, por cuestiones de homogeneidad, se anima a utilizar el programa (<i>pipeline</i>) desarrollado <i>ex profeso</i> para el proyecto. Se trata de un sistema prácticamente automático, escrito en python, que permite de una manera muy rápida y cómoda la calibración, reducción y análisis de las observaciones.<br /></p><p style="text-align: center;"> </p><p style="text-align: center;"><img 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" style="border: 1px solid black; width: 100%;" /> </p><p style="text-align: center;"><span style="font-size: x-small;"><i>Tránsito realizado con un telescopio profesional de 91 cm con la misma cámara utilizada anteriormente. En esta ocasión la estrella era de V=11,9; la profundidad del
tránsito de 17,5 mmag y su duración de 2,19 h.</i></span> </p><p style="text-align: center;"><br /></p><p></p><p style="text-align: justify;"><span> </span>Siempre y cuando tengamos el material adecuado, <b><span style="color: #783f04;">se trata de observaciones sencillas de realizar</span></b> que nos llevarán buena parte de la noche. Hay que tener en cuenta que un tránsito típico puede durar entre 2-4 h y que también se debe observar al menos media hora antes y después del mismo, para poder pillar la parte plana de la curva de luz, fuera del eclipse. </p><p style="text-align: justify;"><span> </span>A modo de ejemplo, para mostrar el resultado final de las observaciones, he incluido un par de tránsitos realizados con distinto equipo al comienzo del verano. No me queda más que animar a los potenciales observadores a participar en el proyecto. <br /></p><p style="text-align: justify;"> <br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-34867121452641838882023-08-12T03:11:00.003+02:002023-08-12T03:11:32.067+02:00Actividades de verano<p style="text-align: justify;"><span> </span>Con la llegada de agosto, y en especial la semana de la fiesta de la Virgen y las Perseidas, retomamos nuestras actividades públicas tras el buen sabor de boca que nos dejó nuestro paso por la <i><span style="color: #783f04;">III Semana Blanca de Quintanar de la Sierra</span></i> el pasado día 24 (por cierto, maravillosamente organizada por la <a href="https://www.facebook.com/Sierraalternativa/">Asociación Sierra Alternativa</a>). </p><p style="text-align: justify;"><span> </span>En los próximos días estaremos en las localidades que mencionamos más abajo, con posibilidad de añadir alguna otra, aún pendiente de confirmar. Este año <span style="color: #783f04;">las condiciones de luna son muy favorables</span> y esperamos disfrutar de un buen cielo con la Vía Láctea en todo su esplendor y alguna Perseida (aunque hay que tener en cuenta que este año el máximo cae de día en Europa).<br /></p><p style="text-align: justify;"><span> </span>Cada actividad consta de dos partes: primero una charla de divulgación
astronómica y al acabar una observación del cielo estrellado. <span style="color: #783f04;">La charla</span>, en modo presentación con un proyector, comenzará <span style="color: #783f04;">a las 21:00</span> y durará del orden de los 50 minutos. Algo más tarde, cuando empiece a anochecer, <span style="color: #783f04;">sobre las 23:00</span>, iniciaremos <span style="color: #783f04;">la observación astronómica</span>,
primero reconociendo las constelaciones a simple vista y luego observando alguno
de los principales objetos astronómicos del cielo de verano con los
telescopios. <br /></p><p style="text-align: justify;"> <br /></p><ul style="text-align: justify;"><li><b><span style="font-size: large;">Jueves 17 de agosto - Quintanarraya</span></b>: como viene siendo habitual, y en colaboración con la <a href="https://es-es.facebook.com/ACLaEspigaDeQuintanarraya/" target="_blank">A. C. La Espiga</a>, participamos un año más en la <i>Semana Cultural</i> <i>de Quintanarraya</i>. Comenzaremos la actividad en la Casa de la Villa para posteriormente
trasladarnos a los Observatorios de la Agrupación, desde donde disfrutar el cielo estrellado. <br /></li></ul><p style="text-align: justify;"><br /></p><ul style="text-align: justify;"><li><span style="font-size: large;"><b>Viernes 18 de agosto - Pinilla de los Barruecos</b></span>: enmarcada en las fiestas del pueblo, de la mano de la <a href="https://www.instagram.com/ac_pinilladelosbarruecos/">A. C. Amigos de Pinilla de los Barruecos</a>, empezaremos nuestra actividad dando la charla en el salón del Ayuntamiento. Concluida ésta, llevaremos a cabo la observación nocturna desde la Loma. </li></ul><p><br /></p><p style="text-align: justify;"><span><span> </span>Por último, n</span>o olvidar que estamos en Burgos y aunque sea verano, por la noche refresca ... ¡Buenos cielos estrellados!<br /></p><p> <br /></p><p> </p><p> </p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-86144104609522986292023-05-25T11:47:00.002+02:002023-05-25T11:51:58.450+02:00Máximo solar: primer acto<p style="text-align: justify;">Como ya hemos comentado otras veces en este mismo blog, <b><span style="color: #783f04;">el Sol sigue un ciclo de actividad de unos once años de duración</span></b>, durante el cual su aspecto cambia considerablemente. </p><p style="text-align: justify;">Después de llegar a su mínima actividad, en promedio, el Sol tarda unos 3,5-4 años en alcanzar de nuevo los niveles de máxima actividad, en los que permanece normalmente 1,5-2 años. Posteriormente la actividad comienza a decaer de manera progresiva para volver a su nivel mínimo pasados 5-6 años. En realidad <span style="color: #783f04;"><b>este ciclo se repite con cada polaridad magnética</b></span>, por lo que en realidad el ciclo completo sería de unos 22 años.</p><p style="text-align: justify;">Desde AstroDemanda realizamos observaciones diarias del Sol (siempre y cuando el tiempo lo permita, claro está) y seguimos la evolución de su actividad a lo largo del ciclo, actualizando cada cierto tiempo nuestro blog para compartirlo con nuestros lectores. En las últimas entradas veíamos cómo estaba terminando el ciclo 24 y empezando el actual, el 25. En esta ocasión la noticia es que <span style="color: #783f04;"><b>hemos llegado al máximo solar</b></span>, que como decía anteriormente, no es cosa de unos días si no que se trata de <b><span style="color: #783f04;">un periodo relativamente duradero</span></b>. La Fig. 1 muestra la actividad solar desde 1995, abarcando los dos últimos ciclos y lo que llevamos del actual:</p><p style="text-align: justify;"><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdNSJAC_PT_74j3u8dBFdKyuFpLf9_dhZ1NV0iShkq8GvbRhkP7WS90wJdij5qTb_KeCFu3zaHVlKr569UHqdwkMFfOi32xnLQTIMvPFR6Of-gUqAVjgizBO7iPf4L5m7YdMyNHrvuCrp3rYR9XvBqGQuN_qWgDqHzRwzey-UpgRyqlf-ljE3IB8RBNg/s2609/Ciclo_25_may23.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1805" data-original-width="2609" height="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdNSJAC_PT_74j3u8dBFdKyuFpLf9_dhZ1NV0iShkq8GvbRhkP7WS90wJdij5qTb_KeCFu3zaHVlKr569UHqdwkMFfOi32xnLQTIMvPFR6Of-gUqAVjgizBO7iPf4L5m7YdMyNHrvuCrp3rYR9XvBqGQuN_qWgDqHzRwzey-UpgRyqlf-ljE3IB8RBNg/w400-h276/Ciclo_25_may23.jpg" width="400" /></a></div><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 1: Curva de la actividad solar mensual, bruta y suavizada, total y por hemisferios, actualizada con los últimos datos disponibles del pasado abril.</i></span><br /></p><p style="text-align: justify;"> </p><p style="text-align: justify;">Se puede apreciar cómo <b><span style="color: #783f04;">en enero se alcanzaron los niveles de actividad</span></b> (todavía en bruto, habrá que esperar unos meses para seguir construyendo la curva suavizada) <b><span style="color: #783f04;">del ciclo anterior</span></b>. Esta curva está basada en el conteo de las manchas solares (el llamado número de Wolf) pero lo mismo ha sucedido con otros índices de actividad como el flujo en radio a 10,7 cm, el incremento de fulguraciones de tipo X, el número de grandes manchas observables a simple vista ... etc.<br /></p><p style="text-align: justify;">En estos momentos <b><span style="color: #783f04;">llevamos ya tres años y medio de ciclo y parece que acabamos de alcanzar el primer pico del máximo undecenal</span></b>. Desde diciembre se ha mantenido una alta actividad media, rondando cuando no superando claramente, el umbral de las 100 unidades, con máximos diarios en torno a las 150-200 unidades, algo sólo visible durante los momentos de máximo. En estos últimos meses hemos asistido también a la aparición de <b><span style="color: #783f04;">grandes grupos E/F</span></b>, los más espectaculares, muchos de ellos <b><span style="color: #783f04;">visibles a simple vista</span></b> y algunos con configuraciones magnéticas bastante complejas. También ha aumentado el número de las fulguraciones de tipo X, las más energéticas, aunque todavía no han sido especialmente intensas.<br /></p><p style="text-align: justify;">Hasta ahora el mes más interesante ha sido enero y, como una imagen vale más que mil palabras, hemos preparado esta animación a partir de imágenes del <a href="https://sdo.gsfc.nasa.gov/" target="_blank">Observatorio de Dinámica Solar (SDO)</a>. Se trata de un telescopio espacial de la NASA situado a 36 000 km de la Tierra, a la que orbita de manera geosíncrona, lo que le permite observar de manera continuada nuestra estrella. El siguiente vídeo resume la actividad desde el 5 al 26 de enero, la mayoría del tiempo con un imágenes espaciadas un cuarto de hora:</p><p style="text-align: justify;"><br /></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='610' height='508' src='https://www.blogger.com/video.g?token=AD6v5dyA2Mh3FsfCBWoxQKJ86SInKUwx_IEFSd2iEy1qrX2p_aRRYJHwAaxqjfkYAqYtBKEyA5M1auPaPwMh_-defA' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Animación que muestra el aspecto animado del disco solar durante el periodo 5-26 de enero (Imágenes del SDO/NASA). Se recomiendo verlo en pantalla completa, con la mayor resolución posible y ligeramente acelerado. </i></span><br /></p><p><br /></p><p style="text-align: justify;">En este pequeño vídeo se ha podido constatar la presencia ininterrumpida y la evolución de grandes grupos de manchas, como digo, muchos visibles a simple vista con los correspondientes filtros. En algún caso merece la pena verlo más de una vez para darse cuenta de la emersión y evolución de las manchas dentro de los grupos. Curioso y típico también de la época de máximo en el que estamos es el hecho de que muchos grupos se formen prácticamente en la misma región, dando lugar a grandes "trenes" de manchas, muchas veces con reconexión del campo magnético, originando emisiones muy energéticas.<br /></p><p></p><p style="text-align: justify;">Sin ir más lejos, <b><span style="color: #783f04;">estos días</span></b> hay un actividad interesante, con <b><span style="color: #783f04;">uno de los grupos especialmente grande, prácticamente con 5 veces el tamaño de nuestro planeta</span></b>. En la Fig. 2 se muestra una foto de anteayer, con el disco entero del Sol y la Tierra a escala, para ayudarnos a asimilar las proporciones. Tenemos que tener en cuenta que el Sol, siendo más bien una estrella pequeña, es unas 100 veces más grande que la Tierra.<br /></p><p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUnZbYCVbBnuqUMorW2MFkaba1Fmn1huGN9N60iXtm9YeEqCCXRE_azTlkMOgI7IOTM0FMJ5mO5-SRi4K4yl_pFPTcfRzrhxVcW0Er7BGNHqo41e2ClUDc8yXMQR4LNeZ-h5FKpd6vGUyYGBvjGeQwC3gmGcnev83uact08dzXU9ObO4G59Uq9h17bxQ/s1501/sol_23may.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1501" data-original-width="1501" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhUnZbYCVbBnuqUMorW2MFkaba1Fmn1huGN9N60iXtm9YeEqCCXRE_azTlkMOgI7IOTM0FMJ5mO5-SRi4K4yl_pFPTcfRzrhxVcW0Er7BGNHqo41e2ClUDc8yXMQR4LNeZ-h5FKpd6vGUyYGBvjGeQwC3gmGcnev83uact08dzXU9ObO4G59Uq9h17bxQ/w400-h400/sol_23may.png" width="400" /></a></div><div style="text-align: center;"><i><span style="font-size: x-small;">Fig. 2: Imagen del Sol el pasado martes. Nótese el enorme tamaño de las manchas solares respecto a la Tierra, en especial el de la gran mancha señalada con la flecha (RA13310). En el recuadro se muestra la Tierra a escala para poder hacernos una idea de las dimensiones.</span></i></div><p></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;">Como decía anteriormente, con los datos en la mano parece que hemos alcanzado (o estamos en ello) el primer pico del máximo solar. Muchos ciclos, como se aprecia en la curva gris de la Fig. 1, presentan en la curva un <b><span style="color: #783f04;">doble máximo</span></b>, normalmente debido a la diferente actividad de ambos hemisferios, que no siempre converge. Es de esperar que en los próximos meses la actividad se mantenga o decaiga ligeramente para luego volver a incrementarse. Lo que no está claro es <b><span style="color: #783f04;">cuándo sucederá o cuál de los dos picos del máximo será más intenso</span></b>.</p><p style="text-align: justify;">Lo que sí que podemos decir en estos momentos es que, <span style="color: #783f04;"><b>respecto a las previsiones</b></span> hechas al acabar el anterior ciclo, <b><span style="color: #783f04;">el actual ha empezado con más fuerza de lo esperado</span></b>. El pronóstico de consenso, que recoge un montón de previsiones realizadas con métodos diferentes, predecía un ciclo 25 con una actividad moderada, similar o incluso menor a la del ciclo 24, que no fue especialmente activo. Como decía antes, en estos momentos ya hemos alcanzado los niveles máximos del ciclo anterior, aunque todavía es pronto para saber cuál será su evolución durante los próximos meses. Sin embargo, la consecuencia previsible a este adelanto a las previsiones seguramente sea un ciclo más activo y con un máximo que se producirá antes de lo previsto (teóricamente en julio de 2025). A día de hoy parece que se adelantará a 2024 ... <b><span style="color: #783f04;">habrá que seguir observando para salir de dudas.</span></b><br /></p><p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKYNF8pXN0zzBd1rhctC3YfbZkW3Iat86B2xjDaXV7GZZSmREYgSCY1IsPbFo8VPbgZbMXCVMpaQNx8x7zivpIEp13db2iO-QCrQEUvTx1VOxtsgp7FX7ETyeziDQTPSb-d1eFltq1AC2dEKs9k8fjj0f7hNY8sZ-l9kToqAcLVad7qS8WmfxdactO-A/s949/dic21_actualizacion_ciclo.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="295" data-original-width="949" height="221" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKYNF8pXN0zzBd1rhctC3YfbZkW3Iat86B2xjDaXV7GZZSmREYgSCY1IsPbFo8VPbgZbMXCVMpaQNx8x7zivpIEp13db2iO-QCrQEUvTx1VOxtsgp7FX7ETyeziDQTPSb-d1eFltq1AC2dEKs9k8fjj0f7hNY8sZ-l9kToqAcLVad7qS8WmfxdactO-A/w468-h221/dic21_actualizacion_ciclo.png" width="468" /></a></div><p style="text-align: center;"><i><span style="font-size: x-small;">Fig. 3: Comparación de la actividad solar real con el pronóstico de consenso del panel que se encarga de recoger y evaluar las distintas previsiones sobre la actividad solar, actualizada el pasado enero: el ciclo 25 ha empezado con una intensidad mayor de lo esperado.</span></i></p><p><br /></p><p></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-58355051581189639612023-01-16T14:48:00.003+01:002023-01-16T16:55:51.271+01:00Un cometa para empezar el año<p style="text-align: justify;">Todavía con la resaca de las fiestas navideñas nos llega la primera gran sorpresa, astronómicamente hablando, de 2023. <b><span style="color: #783f04;">Tenemos a las puertas un cometa que tiene grandes posibilidades de llegar a ser visible a simple vista a finales de mes</span></b>.</p><p style="text-align: justify;"> </p><p style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3qCwG8cAEVubHFTSk1qk7Y4imV4mGlaV40oIoYJ50Wg5V2n3ZUat1tBdvldiNK0HmDDTgQk6uexfKHkZaXBvf2OhRzlV7kCBpD29hKdBU_1wR2WK1iVIiMx_N1tJrZecm8qO6LTdzCzM-XW9OPtN3225DYwbcQU6AfWRvc_lQtYx-J9FxNpIVA-iZEg/s1280/2022E3_2022-12-25_web.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="895" data-original-width="1280" height="280" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3qCwG8cAEVubHFTSk1qk7Y4imV4mGlaV40oIoYJ50Wg5V2n3ZUat1tBdvldiNK0HmDDTgQk6uexfKHkZaXBvf2OhRzlV7kCBpD29hKdBU_1wR2WK1iVIiMx_N1tJrZecm8qO6LTdzCzM-XW9OPtN3225DYwbcQU6AfWRvc_lQtYx-J9FxNpIVA-iZEg/w400-h280/2022E3_2022-12-25_web.jpg" width="400" /></a></div><span style="font-size: x-small;"><i></i></span><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 1: Imagen tomada por Pepe Chambó la pasada Navidad desde Vallès (Valencia).</i></span><br /></p><p style="text-align: left;"> </p><p style="text-align: left;"><u><span style="font-size: large;">Descubrimiento del C/2022 E3 (ZTF)</span></u><br /></p><p style="text-align: justify;">El cometa en cuestión es el C/2022 E3 (ZTF). No tiene un nombre propio sino que es conocido por su nomenclatura sistemática. Esta consiste en una letra (P ó C) seguida del año del descubrimiento, otra letra (en orden alfabético comenzando por la A) que hace referencia a la quincena en que fue identificado y un número que indica el orden de descubrimiento en dicha quincena. Por último se añade el nombre propio si lo tiene (generalmente cuando el descubrimiento lo hace un observador independiente) y si no, el nombre del proyecto que lo descubrió. </p><p style="text-align: justify;">En este caso, este cometa fue el tercero (3) descubierto la quinta quincena (E, la primera de marzo, concretamente el día 2) de 2022. La letra C nos indica que no es un cometa periódico (observado en distintos perihelios), como por ejemplo el celebérrimo Halley, sino que es la primera vez que se observa. Por último, se añade entre paréntesis que este cometa fue descubierto por la colaboración ZTF. Dicha colaboración, <a href="https://www.ztf.caltech.edu/">Zwicky Transient Facility</a>, se encarga de observar el cielo en distintos filtros con la cámara de gran campo (47º) que se encuentra acoplada al telescopio de 1,2 m del histórico observatorio de <a href="https://sites.astro.caltech.edu/palomar/homepage.html">Monte Palomar</a> y es capaz de barrer todo el cielo en apenas 2 días.</p><p style="text-align: justify;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2XHcs5V_oLQ15nh5Z_dU2Hya5I8ElIxbdvekZ_BbJQxUuVBMATHURChNcXsth2W_FGlf7hbmRkXjnwPxUGTILAXcSt-lMhpZovON1PYifM3DS-qVItaXEc2Ng_ROo4fvP4jZOnbkgPt0_MonlVQqA8NiEPFWaEW2430L0LSxprFBgHlMqBRuZMVGc4w/s494/C2022E3ZTF_discover.gif" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="494" data-original-width="494" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2XHcs5V_oLQ15nh5Z_dU2Hya5I8ElIxbdvekZ_BbJQxUuVBMATHURChNcXsth2W_FGlf7hbmRkXjnwPxUGTILAXcSt-lMhpZovON1PYifM3DS-qVItaXEc2Ng_ROo4fvP4jZOnbkgPt0_MonlVQqA8NiEPFWaEW2430L0LSxprFBgHlMqBRuZMVGc4w/w400-h400/C2022E3ZTF_discover.gif" width="400" /></a></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 2: Secuencia de imágenes en el momento del descubrimiento, cuando el cometa se encontraba con magnitud 17 (ZTF).</i></span><br /></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;">Gracias a las numerosas observaciones hechas desde su descubrimiento y al análisis de imágenes anteriores en las que se ha logrado identificar el cometa, hemos sido capaces de calcular su órbita con gran precisión. Sabemos que se trata de un <b><span style="color: #783f04;">cometa de periodo largo</span></b>, es decir, de más de 200 años. En este caso bastante más: <b><span style="color: #783f04;">¡casi 50000 años!</span></b> Esto quiere decir que <b><span style="color: #783f04;">la última vez</span></b> que surcó nuestros cielos fue durante el Paleolítico, cuando el planeta estaba poblado por los <span style="color: #783f04;"><b>Neandertales</b></span>, ¡quién sabe si llegó a ser suficientemente brillante para ser observado por nuestros antepasados y qué pensarían del fenómeno! Parece que esto no volverá a ocurrir ya que después de este paso por el perihelio su órbita se irá abriendo y el cometa saldrá del Sistema Solar.<br /></p><p></p><p><span style="font-size: large;"><u>Pronósticos y visibilidad desde Burgos </u></span><br /></p><p style="text-align: justify;">Centrándonos de lleno en lo que nos interesa, su observación, tenemos que tener en cuenta que hasta ahora ha sido un objeto esquivo, visible prácticamente poco antes del amanecer. Llegó al perihelio el día 12 (a 1,11 UA del Sol) pero no es hasta el <b><span style="color: #783f04;">1 de febrero</span></b> cuando <b><span style="color: #783f04;">alcanzará su mayor aproximación a nuestro planeta</span></b> (0,28 UA, unos 42 millones de km) y, por tanto, será el mejor momento para su observación. Los mejores pronósticos indican que <b><span style="color: #783f04;">podría llegar a una magnitud de 4,5</span></b>. Tenemos que tener en cuenta que se trata de un objeto difuso y, por tanto, su brillo se reparte por toda su superficie, por lo que va a ser siempre más débil que una estrella de la misma magnitud. Es decir, aunque una estrella de magnitud 4,5 es claramente visible desde un cielo oscuro, un cometa de la misma magnitud se encontraría <b><span style="color: #783f04;">al límite de la visibilidad por el ojo humano</span></b>. Su actividad (¿incrementada tras alcanzar el perihelio?) y la presencia de grandes colas favorecería su detección. En cualquier caso se espera que sea un objeto <span style="color: #783f04;"><b>muy sencillo para unos prismáticos pequeños</b></span> (p.ej. tipo 10x50).<br /></p><p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYuZLyYIgfIf0Y5g9rvv7ebsPDS3SSNFQiMFMSzy0YXSGKd2o-1uo0vHQr5T0DbwIOCGTbJr-uGChGsMtPabAUCtEIuC-9ey4bhXU5HhW7XbEPQZgDllh0XIoke3BuXxkh0n54hrvNaaT4dTQ7wP4ARkbk_S4PE0gpFkd2u3Jp0MMhbFxgYrD_J3F0sg/s1024/%C3%ADndice.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="724" data-original-width="1024" height="283" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYuZLyYIgfIf0Y5g9rvv7ebsPDS3SSNFQiMFMSzy0YXSGKd2o-1uo0vHQr5T0DbwIOCGTbJr-uGChGsMtPabAUCtEIuC-9ey4bhXU5HhW7XbEPQZgDllh0XIoke3BuXxkh0n54hrvNaaT4dTQ7wP4ARkbk_S4PE0gpFkd2u3Jp0MMhbFxgYrD_J3F0sg/w400-h283/%C3%ADndice.png" width="400" /></a></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 3: Evolución del brillo del cometa a lo largo del tiempo. Las líneas (roja y gris) son el modelo que mejor ajusta las observaciones (puntos azules y negros) realizadas hasta la fecha. </i></span></p><p style="text-align: center;"><br /></p><p style="text-align: justify;">En la carta que se muestra a continuación se puede ver el recorrido que seguirá el cometa desde el día 16 hasta primeros de febrero. Por el momento se trata de un objeto <b><span style="color: #783f04;">visible durante el final de la noche, aunque a finales de mes se encontrará suficientemente alto desde la medianoche,</span></b> cerca de la estrella polar. A mediados de febrero se irá acercando a Marte y a la Híades por lo que, si no ha perdido mucha de su luminosidad, seguiría siendo sencillo de encontrar. <br /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfJIMYbH_s4TSiiK_SVVAs6N37t0502q74DAWeYkwaj2pT18GEgNfUmZ7G6sji1lYpYgIWsuru-yOi22GNmpIdUlE0R9460CFDdE6Q-naTAehd6c2NQ7j7dRtI-UVRpIH7qOKT9QCR6dCqGYSvszxOyhrERLMXXaypBmav7fAGOqVxZkU_7c91JvMuTw/s1211/Carta%20E3.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="553" data-original-width="1211" height="183" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfJIMYbH_s4TSiiK_SVVAs6N37t0502q74DAWeYkwaj2pT18GEgNfUmZ7G6sji1lYpYgIWsuru-yOi22GNmpIdUlE0R9460CFDdE6Q-naTAehd6c2NQ7j7dRtI-UVRpIH7qOKT9QCR6dCqGYSvszxOyhrERLMXXaypBmav7fAGOqVxZkU_7c91JvMuTw/w400-h183/Carta%20E3.png" width="400" /></a></div><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 4: Localización del cometa en las próximas dos semanas, durante los momentos de mejor visibilidad.</i></span><br /></p><p><br /></p><p style="text-align: justify;">De momento, como decía, el cometa sigue siendo visible a última hora de la noche (hoy 16 estará a una altura de unos 5º a medianoche y 36º a las 4 de la mañana) pero a finales de mes ya será visible toda la noche. Por ejemplo, a modo orientativo, el día 1 a las 21h se encontrará ya alto sobre el horizonte, a 59º, 61º a medianoche y 42º a las 4h. Sin embargo, no solo es importante la posición del cometa, también tenemos que contar con la Luna. Tendremos <b><span style="color: #783f04;">Luna nueva el próximo domingo 22</span></b>, por lo que al llegar a su máxima aproximación a la Tierra, a la Luna le faltarán sólamente 4 días para estar llena ... lo que nos fastidiará la observación del cometa.</p><p style="text-align: justify;">Como sabemos, <b><span style="color: #783f04;">los cometas son muy impredecibles</span> </b>y más de una vez nos hemos llevado un buen chasco, mientras esperábamos al <i>"enésimo cometa del siglo"</i>. Veamos cómo evoluciona el cometa, si cumple o no las espectativas de brillo y si se muestra suficientemente activo para desarrollar una cola interesante. <span style="color: #783f04;"><b>¡Buena observación!</b></span><br /></p><p><br /></p><p><br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-92227101857377943642022-11-26T13:51:00.001+01:002022-11-27T00:28:54.624+01:00Marte en su máximo esplendor<p style="text-align: justify;"><span style="color: #783f04;"><b><span> </span>Está muy extendida la idea de que Marte y la estrella polar son los astros más brillantes del cielo, pero esto no es así.</b> </span>La estrella polar es relevante por ser la estrella que, <i>en la actualidad</i>, se encuentra más cercana al polo norte celeste. Sin embargo, aunque es bien visible a simple vista, no es una estrella <i>"especialmente"</i> brillante (magnitud 2). </p><p style="text-align: justify;"><span> </span>El caso de <span style="color: #783f04;"><b>Marte</b></span> es algo diferente ya que se encuentra mucho más cercano a nosotros y <b><span style="color: #783f04;">su brillo va a a depender de manera muy importante de su posición</span></b> orbital. Debido a la excentricidad de su órbita, que al igual que la de la Tierra y el resto de cuerpos del Sistema Solar no es totalmente circular, su distancia a nosotros (y por tanto también su brillo) no es siempre la misma. Así, cuando está más cerca (en <i>oposición</i>) puede llegar a estar en números redondos a unos 50 millones de km, que para que nos hagamos una idea sería más o menos un tercio de la distancia Tierra-Sol. Sin embargo, cuando se encuentra en <i>conjunción</i>, su máxima distancia a nosotros puede alcanzar los 400 millones de km (casi 3 veces nuestra distancia al Sol). De esta manera, cuando Marte es visible en el cielo puede tener la apariencia de una estrella relativamente brillante (magnitud 1.5) o destacar claramente sobre el resto de estrellas (rozando una magnitud de -3), rivalizando en brillo sólo con Júpiter y Venus. <span style="font-size: x-small;"><i>[En astronomía cuando menor es la magnitud, más luminoso es el objeto].</i></span></p><p style="text-align: justify;"><span style="font-size: x-small;"><i> </i></span><br /></p><p style="text-align: center;"><img alt="https://stsci-opo.org/STScI-01EVTAHG6FNK6CPDE250RDQCWP.jpg" class="shrinkToFit" height="284" src="https://stsci-opo.org/STScI-01EVTAHG6FNK6CPDE250RDQCWP.jpg" width="400" /> </p><p style="text-align: center;"><span style="font-size: x-small;"><i>Marte visto por el telescopio espacial Hubble hace ya algunos años. Las tres imágenes cubren buena parte de la rotación del planeta y nos permiten apreciar sus rasgos más característicos. </i></span></p><p style="text-align: center;"><br /></p><p style="text-align: justify;"><span> </span>En esta parte final del año <b><span style="color: #783f04;">nos encontramos en el mejor momento para la observación de Marte</span></b>. El planeta rojo continúa acercándose y <span style="color: #783f04;"><b>el día 8 estará en oposición</b></span>.
En las últimas semanas ha ido progresivamente aumentando de brillo (y
tamaño) hasta casi alcanzar la magnitud -2 y en estos momentos, junto
con Júpiter, al otro lado del cielo, es el objeto más brillante que
podemos contemplar. Es muy sencillo verlo ya que <b><span style="color: #783f04;">su color anaranjado/rojizo destaca durante la primera mitad de la noche en la parte oriental del cielo</span></b>.
Se encuentra entre las constelaciones de invierno (Tauro-Auriga) y
brilla mucho más que otras estrellas rojizas cercanas como Aldebarán o
Betelgeuse (de la cual ya hablamos en<span style="color: #2b00fe;"> </span><u><span style="color: #2b00fe;"><a href="http://astrodemanda.blogspot.com/2020/03/la-astronomia-en-los-tiempos-de-la.html">anteriores entradas</a></span></u>), que hace poco superaban en luminosidad al planeta. </p><p style="text-align: justify;"><span> </span><span style="color: #783f04;"><b>Las
oposiciones de Marte se producen cada poco más de dos años</b></span>, pero debido
a la excentricidad de su órbita, no todas son igualmente favorables. De
hecho, su distancia a la Tierra durante la oposición varía entre algo
más de 50 y los 100 millones de km, lo que hace que el diámetro aparente
del planeta pueda variar entre, aproximadamente, los 14" y los 25"
(segundos de arco). <b><span style="color: #783f04;">La actual oposición no es especialmente favorable</span></b>
y el tamaño de
Marte será de tan solo 17" (para hacernos una idea de las dimensiones,
es menos de la mitad que los 42" con que hemos observado Júpiter este
verano). Durante la conjunción, con pequeños instrumentos cuesta
diferenciarlo de una estrella, ya que apenas muestra un diámetro de
3.5".</p><p style="text-align: center;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjczmTPyaLfJ3kVL4zGTqdoaviD3j0MKqNMZbjV5o3sngJcRrmEELVEuzLRcMN6hn2oJ6QFQkHeW2B4JAC-bGvSyQcHqqY0z0dJ5RPmqs0-LtSGo2JkeXxeC9TVzW-wxeTHhT9glpf0OGRJbZ-9wCAFZJ7lqdhXWyGcIiunUaM1FRu1Sns5amubRAskDw/s1200/mars-opposition-2022-b99df4a.webp" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="761" data-original-width="1200" height="254" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjczmTPyaLfJ3kVL4zGTqdoaviD3j0MKqNMZbjV5o3sngJcRrmEELVEuzLRcMN6hn2oJ6QFQkHeW2B4JAC-bGvSyQcHqqY0z0dJ5RPmqs0-LtSGo2JkeXxeC9TVzW-wxeTHhT9glpf0OGRJbZ-9wCAFZJ7lqdhXWyGcIiunUaM1FRu1Sns5amubRAskDw/w400-h254/mars-opposition-2022-b99df4a.webp" width="400" /></a><br /></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Imagen donde se representa el movimiento retrógrado de Marte junto con la variación de su tamaño aparente durante el periodo 2022-2023 (Pete Lawrence)</i></span></p><p style="text-align: justify;"><span><i> </i> <br /></span></p><p style="text-align: justify;"><span> </span>Para finalizar, comentar que <b><span style="color: #783f04;">la noche del 7 al 8 de diciembre se producirá una ocultación de Marte por la Luna</span></b>. Es un fenómeno curioso que no sucede muy a menudo y merece la pena verlo, preferiblemente con telescopios de cierto tamaño, para poder poner en relieve la diferencia del tamaño aparente de ambos cuerpos mientras se observan simultáneamente. Desde Burgos se podrá observar al final de la noche (6:15 hora local) la ocultación con la Luna apenas 25º sobre el horizonte. La reaparición (7:06) sucederá ya durante el crepúsculo, minutos antes de la salida del Sol.<br /></p><br /><p><br /></p><p><br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-6084453593088958712022-08-22T01:02:00.333+02:002022-08-23T17:07:02.102+02:00Los satélites de Marte<p style="text-align: justify;"><span> </span>Como es sabido, nuestro vecino Marte tiene dos pequeños satélites. Lo que es menos conocido es que estos días <b><span style="color: #783f04;">se cumplen 145 años de su descubrimiento</span></b>.<br /></p><p style="text-align: justify;"><span> </span><b><span style="color: #783f04;">Ambas lunas son poco más que pedruscos</span></b>, con un tamaño de unos pocos kilómetros y una <span style="color: #783f04;"><b>forma</b></span> irregular, que nos recuerda a la <b><span style="color: #783f04;">de una patata</span></b>. El más grande de los dos, Fobos, tiene unas dimensiones (27x22x19 km) que casi doblan las de Deimos, el más pequeño (10x12x16 km). Además, Fobos se encuentra orbitando Marte a una distancia tres veces menor que a la que lo hace Deimos. Su pequeño tamaño hace que, a pesar de estar muy cercanos al planeta, muestren un aspecto puntual desde la superficie marciana, análogo a como vemos Venus desde la Tierra. Y eso cuando son visibles, que, debido a sus reducidas dimensiones, permanecen la mayor parte del tiempo inmersos en el cono de sombra que proyecta el planeta. Vamos, ¡que no nos estamos perdiendo un gran espectáculo por no estar ahora mismo en Marte!<br /></p><p></p><br /><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1TTGPtGN3CWDvJ2bdIpigjAQ5Qyickooj0PwoJTn8WE7LENZEZCtSixYwiU3B8NTpWV8hXhIMnUOZqGVWjjxOaEpyWx4nmTL94y1XWJcxlB0ZFdYcqsVTaLrVYy1rU7MbeJv1JXNNPDpPcmvJvgLfbvjtX894Q-6w7Tn1XqJusU_gQ2l5DKP_aAkAzg/s800/phobos_deimos.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="543" data-original-width="800" height="271" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1TTGPtGN3CWDvJ2bdIpigjAQ5Qyickooj0PwoJTn8WE7LENZEZCtSixYwiU3B8NTpWV8hXhIMnUOZqGVWjjxOaEpyWx4nmTL94y1XWJcxlB0ZFdYcqsVTaLrVYy1rU7MbeJv1JXNNPDpPcmvJvgLfbvjtX894Q-6w7Tn1XqJusU_gQ2l5DKP_aAkAzg/w400-h271/phobos_deimos.png" width="400" /></a></div></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><i><span style="font-size: x-small;">Comparación de tamaños y órbitas de los satélites de Marte (NASA). </span></i><br /></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: justify;"><p><span> </span><span style="color: #783f04;"><b>Los dos cuerpos son</b></span> muy oscuros, literalmente<span style="color: #783f04;"> <b>más negros que el carbón</b></span> (no fiarse del brillo, en falso color, de la figura de arriba), <span style="color: #783f04;"><b>y tienen una superficie craterizada</b></span>. No son muy densos (más o menos el doble que el agua) y si estuviéramos sobre ellos pesaríamos ¡unas 1000 veces menos! Un astronauta que se encontrara pisando su superficie y diera un salto ... ¡se escaparía al espacio! </p><p><span> </span>Durante muchos años, por sus dimensiones y su forma, <span style="color: #783f04;"><b>se ha pensado que ambos cuerpos eran asteroides que fueron capturados</b></span> al pasar por las cercanías de Marte. Sin embargo, en los últimos años <span style="color: #783f04;"><b>otra teoría</b></span> está cogiendo fuerza: nuevas mediciones parecen indicar que los dos satélites formaban parte de una luna primigenia de mayor tamaño que posteriormente se fragmentó, posiblemente debido al impacto con un asteroide. <span style="color: #783f04;"><b>Fobos y Deimos serían los únicos restos que han quedado de dicha luna</b></span>.</p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNFbODeV8M_ko08Q_jVsn-KQVae8zklBR-v9Q1jthqcm0JWFvA86mEjDdwvRxBw2fh6GPch4X57zH5iAWW_dO109UsnrEbCFwScot0HTwiCD9fnIlikeHxnSrKCP1TpXCcblaIz5yteZLr6SMSF6zovVbjX8LPLA0HOw1cfEBxbAuA-cYbB6c9XcdS-A/s1280/66cc.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1280" data-original-width="934" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNFbODeV8M_ko08Q_jVsn-KQVae8zklBR-v9Q1jthqcm0JWFvA86mEjDdwvRxBw2fh6GPch4X57zH5iAWW_dO109UsnrEbCFwScot0HTwiCD9fnIlikeHxnSrKCP1TpXCcblaIz5yteZLr6SMSF6zovVbjX8LPLA0HOw1cfEBxbAuA-cYbB6c9XcdS-A/w293-h400/66cc.jpg" width="293" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i>El gran refractor de 66 cm del Observatorio Naval con </i></span></div><div style="text-align: center;"><span style="font-size: x-small;"><i>el que Hall descubrió Fobos y Deimos (USNO).</i></span><br /></div></div><div class="separator" style="clear: both; text-align: justify;"><p></p><p> </p><p><span> </span>Su
descubrimiento se debe al astrónomo americano <span style="color: #783f04;"><b>Asaph Hall</b></span>, por aquel
entonces director del Observatorio Naval de los Estados Unidos (USNO). Tras observar la rotación de Saturno se centró en la observación sistemática de Marte, durante su oposición, con el fin de explorar la posible existencia de satélites. Para ello <b><span style="color: #783f04;">utilizó el gran refractor de 66 cm</span></b>,<b><span style="color: #783f04;"> el mayor de la época</span></b>. Pronto su tesón se vio recompensado y en <b><span style="color: #783f04;">agosto de 1877</span></b>, apenas en el plazo de una semana, descubrió primero Deimos (el día 11) y días más tarde Fobos (el 17). </p><p><span> </span>El nombre de ambas lunas, como tantas otras cosas en astronomía, tiene su origen en la mitología griega. <b><span style="color: #783f04;">Fobos (miedo) y Deimos (terror) eran los hijos del dios de la guerra</span></b>, al que acompañaban a la batalla. El padre de las criaturas, Ares, tuvo en Marte su equivalente en el panteón romano. Como es bien conocido, en su honor el planeta rojo, precisamente por su apariencia rojiza que recordaba a la sangre, recibió su nombre.<br /></p><p><span> </span>Como hemos visto, no todo en agosto tiene que ver con las Perseidas ...<br /></p></div><div class="separator" style="clear: both; text-align: justify;"> </div><div style="text-align: justify;"><br /> </div><p></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-51610486600306887702022-08-18T01:50:00.004+02:002022-08-25T10:51:48.211+02:00Más actividades en verano<p> </p><p></p><p style="text-align: justify;">Afrontamos la parte final del verano con nuevas actividades en Cuevas de Amaya y Cardeñadijo. De momento, a pesar de que hemos tenido algo de nubes al inicio de la noche (tanto en Quintanar como en Huerta de Arriba) o Luna (Quintanarraya), hemos podido aprovechar la noche y hacer disfrutar al público asistente con la observación de los planetas y el cielo de verano, incluyendo unas cuantas estrellas fugaces brillantes. Esperamos seguir contagiando a la gente nuestra pasión por la astronomía.<br /></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDYAsZgCOEMit77WQDTPAbjrJo8oJcIDY8HNS81g0UiHwZddHva6uxGY_p5lGGXM77ra6opAE32BEBZ96A1u4qlddyX32pXg0S4zuJQmY_Ms4x3nwyJyJZkQWloR_Z86sWIc9IQunRvfuJZ8SnBo42R3OTZINyOQ6nrMANV_8VJuDpBScz4at2J2Zj7Q/s1600/IMG-20220730-WA0008.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1066" data-original-width="1600" height="267" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDYAsZgCOEMit77WQDTPAbjrJo8oJcIDY8HNS81g0UiHwZddHva6uxGY_p5lGGXM77ra6opAE32BEBZ96A1u4qlddyX32pXg0S4zuJQmY_Ms4x3nwyJyJZkQWloR_Z86sWIc9IQunRvfuJZ8SnBo42R3OTZINyOQ6nrMANV_8VJuDpBScz4at2J2Zj7Q/w400-h267/IMG-20220730-WA0008.jpg" width="400" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i>Observación nocturna en Quintanar de la Sierra el pasado día 28.</i></span><br /></div><div><p><br /></p><ul style="text-align: justify;"><li><b><span style="font-size: large;">Jueves 18 de agosto - Cuevas de Amaya</span></b>: como ya comentamos en la entrada anterior, esta tarde la <i>A. C. Deportiva Recreativa Amigos de Cuevas de Amaya</i> organiza una noche de estrellas que comenzará a las 20:00 con una charla de divulgación astronómica en las <i>antiguas escuelas</i> para después, al atardecer, realizar una observación del cielo estrellado. <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1cq5I5qdSLAoebMfVWGhW9LYB9wkwwPumm4ziQfG2Ii1OU1Vw-67g9F3g-91XG4KukCMohBXA5Dv5jBiIDfteZwVkiBEc_ik0guo-nlCi35A9XLJunQnH0KoDMkq9esTHkb9tC1ohcX-iEN5Bz1SbJJFr0xeFAfmfJwK_gAlrzJcPhMHmzOUyXmt91Q/s4160/IMG_20220814_000828.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="3120" data-original-width="4160" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1cq5I5qdSLAoebMfVWGhW9LYB9wkwwPumm4ziQfG2Ii1OU1Vw-67g9F3g-91XG4KukCMohBXA5Dv5jBiIDfteZwVkiBEc_ik0guo-nlCi35A9XLJunQnH0KoDMkq9esTHkb9tC1ohcX-iEN5Bz1SbJJFr0xeFAfmfJwK_gAlrzJcPhMHmzOUyXmt91Q/w400-h300/IMG_20220814_000828.jpg" width="400" /></a></div><br /><div style="text-align: center;"><i><span style="font-size: x-small;">La Osa Mayor presidiendo la observación lunar y planetaria en nuestros observatorios de Quintanarraya </span></i></div><div style="text-align: center;"><i><span style="font-size: x-small;">(Foto de nuestro compañero Carlos).</span></i><br /></div><br /></li></ul><ul style="text-align: justify;"><li><span style="font-size: large;"><b>Lunes 29 de agosto - Cardeñadijo</b></span>:
finalizamos agosto con una actividad en el alfoz de Burgos invitados por la <i>A. C. El Pilón de Cardeñadijo</i>. Antes de cenar, a las 20:15, daremos en el <i>centro cívico ·El Molino</i> una charla general de astronomía para entender mejor lo que, una vez anochecido, a partir de las 22:30 podremos observar con los telescopios.</li></ul><p style="text-align: center;"> </p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpMdpc_AMnPUwgO-G50fiL3-tpxX7aZp5iXokweIKQHVpU2J7xTKo0yYUB9DdmOl0gJ2EiSLMHuKeoxBxEUu_mjMsm1-87pgX2sfCqCXHFzi6njQeBEco3Bc9q03-5K0nwXf9jOkBr54PRTmWLI9n9pQZm8hkcrVTl94xnoQ2sbes1R1TnF3I-5D3WCw/s1600/IMG-20220730-WA0007.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1066" data-original-width="1600" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpMdpc_AMnPUwgO-G50fiL3-tpxX7aZp5iXokweIKQHVpU2J7xTKo0yYUB9DdmOl0gJ2EiSLMHuKeoxBxEUu_mjMsm1-87pgX2sfCqCXHFzi6njQeBEco3Bc9q03-5K0nwXf9jOkBr54PRTmWLI9n9pQZm8hkcrVTl94xnoQ2sbes1R1TnF3I-5D3WCw/w400-h266/IMG-20220730-WA0007.jpg" width="400" /></a></div><p></p><div style="text-align: center;"><i><span style="font-size: x-small;">Una de las preguntas más repetidas en las observaciones públicas: </span></i></div><div style="text-align: center;"><i><span style="font-size: x-small;">¿Dónde decías que estaba la estrella polar?</span></i><br /></div><p><br /></p><p> </p><p> </p><p> </p>
</div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-82278243696302852402022-07-26T03:52:00.003+02:002022-08-18T02:02:12.793+02:00Actividades en verano<div><p style="text-align: justify;"><span> </span>Como todos los años, con la llegada del buen tiempo y de las vacaciones, mucha gente se traslada al medio rural en busca de tranquilidad y descanso. Una vez que se pone el Sol, no sólo nos aliviamos con la bajada de la temperatura sino que muchos de nosotros, refrescándonos en la calle, descubrimos la belleza de la Vía Láctea y de un cielo lleno de estrellas. Es entonces, principalmente en agosto, cuando la gente más nos contacta para realizar talleres y disfrutar juntos de las noches estrelladas de verano. Para aquellos interesados aquí están las actividades públicas programadas para las próximas semanas:</p><p> <br /></p><ul style="text-align: justify;"><li><span style="font-size: large;"><b>Jueves 28 de julio - Quintanar de la Sierra</b></span>: de la mano de la <a href="https://www.facebook.com/Sierraalternativa/" target="_blank">Asociación Sierra Alternativa</a>, que organiza la <i>II Semana Blanca de Quintanar</i>, nos veremos en <a href="https://patrimonionatural.org/casas-del-parque/centros-tematicos/casa-de-la-madera" target="_blank">la Casa de la Madera</a> el próximo jueves, primero con una charla divulgativa y, una vez anochecido, con una sesión de observación de estrellas. El aforo es limitado, así que rogamos a aquellas personas interesadas que aún no lo hayan hecho que contacten con los organizadores lo antes posible. <br /></li></ul><p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCGHCIPxL38RL6v8aDppmfRso259Jzc4WxzlF12Fnpvk2fLme2D8ACfS-Ol-7ahImCehA0NroiES_bIMowv3eZi3GP6UcIdcEJ5L3CsKSl4B3rCpfh5YmaS31K7FhKAqMEb_xtlS2FbrJyqfLTKHZSL9KMaIvT8QNpdrpTT8_-5PP8I4DAnE7h1t2mVw/s1600/IMG-20220725-WA0010.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1131" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCGHCIPxL38RL6v8aDppmfRso259Jzc4WxzlF12Fnpvk2fLme2D8ACfS-Ol-7ahImCehA0NroiES_bIMowv3eZi3GP6UcIdcEJ5L3CsKSl4B3rCpfh5YmaS31K7FhKAqMEb_xtlS2FbrJyqfLTKHZSL9KMaIvT8QNpdrpTT8_-5PP8I4DAnE7h1t2mVw/w283-h400/IMG-20220725-WA0010.jpg" width="283" /></a></div><br /> <p></p>
<ul style="text-align: justify;"><li><span style="font-size: large;"><b>Jueves 4 y viernes 5 de agosto - Demanda Folk</b></span>: un año más, como viene siendo habitual, nos veremos de nuevo en nuestro <i>festival no convencional de música tradicional</i> favorito, el <a href="https://www.demandafolk.com/" target="_blank">Demanda Folk</a>, uno de los festivales con más tradición de la provincia. En esta edición realizaremos dos talleres de estrellas. El primero será el día 4 en la ermita de Vega a las 23:00 horas (antes de llegar a Tolbaños), mientras que el segundo será el viernes 5 a la 1:00 de la mañana en la campa de siempre (ermita del Salterio). </li></ul><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigA0ef3u25j76nvSAZtlB-JLAyBtSgwQIAdxoc7_kcDzP8LBLcKPNfV5RuAwsMRp61LHdXOrW7sZQ57TtezOc6zKSFKtZPQ3nGu1xn8fkWUVR9GF5iFFK8Ieuv_orxoGFTR-J3pO99Xhjx81osEb4ROInlm3qNEvZUZREbwZd_dV2COG1t7r1MS5zoDQ/s1308/Cartel-Demandafolk.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1308" data-original-width="925" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigA0ef3u25j76nvSAZtlB-JLAyBtSgwQIAdxoc7_kcDzP8LBLcKPNfV5RuAwsMRp61LHdXOrW7sZQ57TtezOc6zKSFKtZPQ3nGu1xn8fkWUVR9GF5iFFK8Ieuv_orxoGFTR-J3pO99Xhjx81osEb4ROInlm3qNEvZUZREbwZd_dV2COG1t7r1MS5zoDQ/w283-h400/Cartel-Demandafolk.jpg" width="283" /></a></div><br /> <p></p><ul style="text-align: justify;"><li><b><span style="font-size: large;">Sábado 13 de agosto - Quintanarraya</span></b>: en colaboración con la <a href="https://es-es.facebook.com/ACLaEspigaDeQuintanarraya/" target="_blank">A. C. La Espiga</a> retomamos después de la pandemia nuestra participación en la <i>Semana Cultural de Quintanarraya</i>, con una charla de divulgación astronómica en la Casa de la Villa a las 20:00 de la tarde. Posteriormente, sobre las 23:00 de la noche nos trasladaremos a los Observatorios de la Agrupación para disfrutar de la observación lunar y. si la noche acompaña, de algunas Lágrimas de San Lorenzo. <br /></li></ul><p>
<br />
</p><ul style="text-align: justify;"><li><span style="font-size: large;"><b>Jueves 18 de agosto - Cuevas de Amaya</b></span>: realizaremos una charla astrónomica antes de cenar (sobre las 20:00-20:30) en la sede de la A. C. de Cuevas para luego observar las estrellas al comienzo de la noche (sobre las 22:30-23:00). Las horas son aproximadas y todavía están sin confirmar. En los próximos días actualizaremos la información, valga ahora como adelanto.<br /></li></ul>
<br /></div><div style="text-align: justify;">
Esperamos veros en alguna de estas actividades y disfrutar todos juntos del espectáculo que supone un buen cielo estrellado. Aunque estemos en verano, seguimos en Burgos, no olvidar ropa de abrigo para estar cómodos durante las observaciones.<br /></div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-16554446844186122442021-11-23T05:08:00.001+01:002021-11-23T05:09:39.828+01:00Leonard, la esquiva estrella de Belén<p style="text-align: justify;"> En la entrada de hoy tengo que daros dos noticias, una buena y otra mala. Empezaré por la buena. <i><b><span style="color: #783f04;">Apenas año y medio después del NEOWISE se acerca un cometa que promete ser suficientemente brillante como para poder verlo a simple vista o con pequeños prismáticos</span> </b></i>(desde cualquier lugar medianamente oscuro). La mala, que será en malas condiciones, muy bajo sobre el horizonte, poco antes del amanecer. </p><p style="text-align: justify;"> </p><p style="text-align: justify;"><u><b>DESCUBRIMIENTO DEL C/2021 A1 (LEONARD)</b></u></p><p style="text-align: justify;"> Como se deduce de su nomenclatura, este cometa fue el primero en ser descubierto en 2021, concretamente el 3 de enero. El astrónomo <i><b><span style="color: #783f04;">G. Leonard</span></b></i>, desde el <a href="https://skycenter.arizona.edu/">Observatorio de Monte Lemmon</a> (Arizona) <i><b><span style="color: #783f04;">fue quien descubrió</span></b></i> y, por tanto, dio su nombre al nuevo cometa. Para ello utilizó un telescopio de 1,5 m, observando al por entonces candidato a cometa como un punto débil en torno a la magnitud 19 en la constelación de los Perros de Caza (Canes Venatici en latín). Posteriormente, distinas observaciones han contribuido a determinar su órbita con una buena precisión. En la Fig. 1 se muestra una imagen tomada hace casi dos meses por <a href="Pepe Chambó">Pepe Chamb</a><a href="Pepe Chambó">ó</a>, uno de los grandes observadores cometarios a nivel mundial, donde ya se empezaban a apreciar tanto la coma como la cola. </p><p style="text-align: justify;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2fUazQDM_q92gtpbouVoCjTY33nxAqELdJZgaygLFpX2A0iArbtq0UnwMe_Plm2PEDQniQeicrb4Fikk6kaiGy0q8RFQAbWOO4PUigX_OMfX3sk4ooa6Bp-4dKj8ihjiCYhRAvVgPBCTG/s1280/2021A1_20211005_web.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="853" data-original-width="1280" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2fUazQDM_q92gtpbouVoCjTY33nxAqELdJZgaygLFpX2A0iArbtq0UnwMe_Plm2PEDQniQeicrb4Fikk6kaiGy0q8RFQAbWOO4PUigX_OMfX3sk4ooa6Bp-4dKj8ihjiCYhRAvVgPBCTG/w400-h266/2021A1_20211005_web.jpg" width="400" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 1: Imagen tomada por Pepe Chambó el pasado 5 de octubre donde ya se distinguen, todavía incipientes, la coma y la cola.</i></span><br /></div><div><p style="text-align: justify;"><br /></p><p><u><b>¿QUÉ PODEMOS ESPERAR DEL LEONARD?</b></u><br /><span> </span></p><p style="text-align: justify;"> Como se ve en la Fig. 2, <i><b><span style="color: #783f04;">hasta el momento el cometa está siguiendo los pronósticos</span></b></i> (línea roja) y se encuentra ya en torno a la octava magnitud. De seguir así <b><i><span style="color: #783f04;">se espera que pueda alcanzar una magnitud máxima ligeramente por encima de la cuarta</span></i></b>, en el límite de la detección a simple vista. Tenemos que tener en cuenta que los cometas son objetos extensos y su magnitud no es comparable a la de una estrella puntual, sino algo más débil. Los modelos más optimistas (línea verde de la figura), teniendo cuenta un posible efecto de aumento de brillo por dispersión frontal, situarían el máximo todavía tres magnitudes más brillante, es decir en torno a la primera, algo que sería muy espectacular. Sin embargo, no debemos lanzar las campanas al vuelo. Es muy difícil pronosticar la actividad cometaria, y más en aquellos cuerpos "nuevos" que no han pasado aún por el perihelio. Un ejemplo muy claro de "falsas" expectativas fue el cometa ISON, hace ya algunos años. <br /></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhP8jQpbTRFRDsUa1SjMBfa3UYiKAbeMxoJUvSqLj2P-DPxQcp3RYskWFwj3gUz0FYFfiU_CHHUdmRmzdTXoOoMqv2aFqSRokvho33u8NHaLYffXPhfz22nsT0mlz5z4Lk_beuhA9ddexG8/s1024/modelos+cometa.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="724" data-original-width="1024" height="283" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhP8jQpbTRFRDsUa1SjMBfa3UYiKAbeMxoJUvSqLj2P-DPxQcp3RYskWFwj3gUz0FYFfiU_CHHUdmRmzdTXoOoMqv2aFqSRokvho33u8NHaLYffXPhfz22nsT0mlz5z4Lk_beuhA9ddexG8/w400-h283/modelos+cometa.png" width="400" /></a></div><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig.2: Prevision del brillo del cometa en función del tiempo (línea roja). Los puntos (negros y azules) son distintas observaciones, que hasta ahora se ajustan al pronóstico. La línea verde, modelo más optimista, predice un posible incremento de brillo durante el máximo de casi tres magnitudes.</i></span><br /></p><p><br /></p><p style="text-align: justify;"> Como decía, <b><i><span style="color: #783f04;">en estos momentos</span></i></b> el Leonard se encuentra relativamente brillante <span style="color: #783f04;"><b><i>en torno a la octava magnitud</i></b></span> y a una distancia de la Tierra prácticamente como la que nos separa del Sol (1 UA=150 millones de km). <b><i><span style="color: #783f04;">Su máximo brillo se prevé que lo alcance el dia 12</span></i></b>, cuando más cerca estará de nosotros. En ese momento se encontrará a unas 0,23 UA. Para que nos hagamos una idea esta es algo más de la mitad de la distancia que hay entre el Sol y Mercurio o algo menos de la distancia que nos separa de Venus, el planeta más cercano a nosotros. Si lo comparamos con la distancia a la Luna, el cometa se encontrará unas 90 veces más lejos. Después de su máximo acercamiento a la Tierra seguirá su camino hacia el Sol, debilitándose hasta alcanzar su perihelio el dia 3 de enero a 0,62 UA, momento en que ya será un objeto sólamente visible desde el hemisferio Sur.</p><p style="text-align: justify;"><br /></p><p><u><b>VISIBILIDAD DESDE BURGOS</b></u><br /></p><p style="text-align: justify;"> En la carta que se muestra a continación (Fig. 3) se puede ver el recorrido que seguirá el cometa desde ahora hasta el día 12, momento de su máximo acercamiento. Durante los últimos dias de noviembre se moverá despacio sobre el fondo del cielo a una cierta altura y su magnitud no aumentará mucho. A partir de diciembre sucederá lo contrario: el movimiento día a día será notable, siempre acercándose más al horizonte, y su magnitud (y esperemos que también su actividad cometaria, principalmente en forma de cola/colas), se incrementará a un ritmo mayor. <br /></p><p style="text-align: justify;"> Durante el máximo lo podremos encontrar muy cerquita de M12, el cúmulo sin nombre que aparece marcado en la carta por debajo de Ofiuco (por cierto, decimotercera constelación zodiacal). Respecto al Sol, desgraciadamente, también estará muy próximo: saldrá dos horas antes y se pondrá apenas una hora después. Esto quiere decir que<b><i><span style="color: #783f04;"> lo encontraremos muy bajo en el horizonte Este</span></i></b>, lo que dificultará su visibilidad. Al menos, esos días <span style="color: #783f04;"><b><i>no habrá Luna</i></b></span> que dificulte aún más su observación.</p><p style="text-align: justify;"><br /></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy0kuJ0mzLIxuysqMs8y_CYWqFqdLBI1AA4B1WZrth2R9KAVu8x7LioCeV6hq8bkd9mvQdnkd3BhBsJJxGBUo5HbLQ8X-5nvVHot9jS5nXRK9K8F_OoHznVKV5j4QH8iBys0I4GlXMSEO6/s1187/Leonard.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="595" data-original-width="1187" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjy0kuJ0mzLIxuysqMs8y_CYWqFqdLBI1AA4B1WZrth2R9KAVu8x7LioCeV6hq8bkd9mvQdnkd3BhBsJJxGBUo5HbLQ8X-5nvVHot9jS5nXRK9K8F_OoHznVKV5j4QH8iBys0I4GlXMSEO6/w640-h320/Leonard.png" width="640" /></a></div><p style="text-align: center;"><i><span style="font-size: x-small;">Fig. 3: Recorrido del Leonard desde los Perros de Caza (finales de noviembre) hasta Ofiuco (mitad de diciembre), momento de máxima aproximación a nuestro planeta.<br /></span></i></p><p> </p><p style="text-align: justify;"> A partir del dia 12 el cometa se verá al atardecer pero cada vez más débil y más bajo sobre el horizonte hasta dejar de verse en nuestro hemisferio a finales de mes. Habrá que estar pendiente estos días de su evolución para ver si en diciembre podremos disfrutar de otro gran cometa. Yo, de momento no he podido verlo, a ver si el tiempo lo permite ...<br /></p><br /><p><br /></p> <p></p><p> </p><p> </p><p> </p></div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-58267105378158549512021-11-15T02:49:00.001+01:002021-11-15T02:52:16.846+01:00En los comienzos del ciclo solar 25<p style="text-align: justify;"><span></span><span> </span>Como viene siendo habitual, y como buen observador solar, cada cierto tiempo me gusta actualizar y compartir con nuestros lectores el momento de la actividad solar en el que nos encontramos.<br /></p><p style="text-align: justify;"><span></span> En la <span style="color: #2b00fe;"><a href="http://astrodemanda.blogspot.com/2020/06/">última entrada</a></span>, hace ya un año y medio, aventurábamos el final del ciclo 24. Comparando el número de grupos del viejo y del nuevo ciclo, que durante un tiempo conviven, parecía claro que el final del ciclo 24 se había producido durante el último trimestre de 2019. Ahora, con la curva suavizada (análoga a la curva de incidencia del Covid a 7 ó 14 días que tanto hemos visto durante la pandemia), se confirma que <span style="color: #783f04;"><b>el nuevo ciclo 25</b></span>, en el que ahora nos encontramos,<span style="color: #783f04;"><b> comenzó en diciembre de 2019</b></span>. Por tanto, en el momento de escribir estas líneas, noviembre de 2021, llevamos ya prácticamente 2 años de ciclo.</p><p style="text-align: justify;"><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyQPx4mMj0MCF4MpiIMPfbb7gs7AjUhHf4FaC9hTJMtwn9DwCUW04gb62yKOkWW46WuBHdM8wemRWe6Y4zlosRNdEWpzmI6u818sNJqDEijLkSCbpl-34Y1EzzoggVAwOq5kn6uHCU3Mkm/s2048/sol_oct21.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1417" data-original-width="2048" height="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyQPx4mMj0MCF4MpiIMPfbb7gs7AjUhHf4FaC9hTJMtwn9DwCUW04gb62yKOkWW46WuBHdM8wemRWe6Y4zlosRNdEWpzmI6u818sNJqDEijLkSCbpl-34Y1EzzoggVAwOq5kn6uHCU3Mkm/w400-h276/sol_oct21.png" width="400" /></a></div><p></p><p style="text-align: center;"><span style="font-size: x-small;"><i><span>Fig. 1: Actividad solar mensual, bruta y suavizada (total y por hemisferios), de los dos últimos ciclos. La linea blanca marca el comienzo del nuevo ciclo 25.</span></i></span></p><p style="text-align: center;"><i><span style="font-size: x-small;"> </span></i><br /></p><p></p><p style="text-align: justify;"> Como sucede al cambiar de ciclo, el hemisferio que lleva la voz cantante durante la parte final del ciclo, cede su puesto al otro hemisferio (en realidad el ciclo solar, magnético, no es de 11 sino de 22 años). Podemos ver cómo al acabar el ciclo 24 era el hemisferio Norte (línea azul) el que llevaba la iniciativa, mientras que, en estos momentos, <b><span style="color: #783f04;">al comenzar el ciclo 25 es el Sur</span></b> (rojo) quien se está mostrando <b><span style="color: #783f04;">más activo</span></b>. </p><p style="text-align: justify;"> En general, hasta ahora <b><span style="color: #783f04;">la actividad está siendo relativamente moderada</span></b> aunque ya se han producido las dos primeras fulguraciones de tipo X (las más energéticas) y hemos podido ver algún gran grupo, que incluso ha llegado a ser visible a simple vista. A continuación se pueden ver dos de los grupos más grandes de los últimos años:<br /></p><p> <br /></p><p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrydRuG_ux9h3liU1fv7U2yr-PIL_lJOyDVs27nhbAhW6gqaVSB5JEMlPMDJnz3rOmurrOWmo0ePZ7FqaC6hIcEWPj9K4Oqh4wJwm97hAvu51i-7cNzjBlUt1R9shC9SCjW33v8xYaqrIb/s942/2786.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="614" data-original-width="942" height="261" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhrydRuG_ux9h3liU1fv7U2yr-PIL_lJOyDVs27nhbAhW6gqaVSB5JEMlPMDJnz3rOmurrOWmo0ePZ7FqaC6hIcEWPj9K4Oqh4wJwm97hAvu51i-7cNzjBlUt1R9shC9SCjW33v8xYaqrIb/w400-h261/2786.png" width="400" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i><span style="font-size: xx-small;"><span></span><span></span><span></span><span></span><span></span><span></span><span></span></span>Fig. 2: Grupo de manchas (región activa) 2786 los días 26 (arriba) de <span></span><span></span><span></span><span></span><span></span><span></span><span></span>noviembre de 2020 (Javier Alonso).</i></span></div><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyqcARjE1hnrS9UJTkiakWJ2KNhuZ8zvIuzdXSrbZw-M8oggSD8L9R8gdlnChZaxXLu8Wwice_jWaT_6srDlYSPhLTFknaQE7lX6eNGQ7J2MmuN5I9Ay4PSrG5hKvyeypuTeCqOpwMwH6_/s1168/2835.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1168" data-original-width="1112" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyqcARjE1hnrS9UJTkiakWJ2KNhuZ8zvIuzdXSrbZw-M8oggSD8L9R8gdlnChZaxXLu8Wwice_jWaT_6srDlYSPhLTFknaQE7lX6eNGQ7J2MmuN5I9Ay4PSrG5hKvyeypuTeCqOpwMwH6_/w381-h400/2835.png" width="381" /></a></div><div style="text-align: center;"><span style="font-size: x-small;"><i>Fig. 3: Grupo de manchas 2835 los días 1 y 3 de julio de 2021 (telescopio espacial SDO).</i></span></div><div style="text-align: center;"><span style="font-size: x-small;"><i> </i></span><br /></div><div style="text-align: justify;"><p> No quiero alargarme mucho más. Sólamente quería acabar viendo qué podemos esperar de este ciclo 25, es decir, cómo será de activo y cuándo se producirá el máximo. La opinión más generalizada es que <span style="color: #783f04;"><b>este ciclo será muy parecido al anterior</b></span> y, por tanto, será relativamente poco activo. Se espera que <b><span style="color: #783f04;">el máximo ocurra a mediados de 2025</span></b>, aunque visto que el ciclo ha comenzado de manera algo más activa de lo pronosticado, las predicciones se han actualizado y el máximo podría adelantarse a finales de 2024. Sólo nos queda observar y esperar a ver qué pasa al final. Desde aquí, seguiremos informando.</p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbhVvFq7ApKjk62xfZgWckuqKT68PjFSK1MekL73atnDUcEODdyvi63ESGNVX5o4Z74I5ZesNUUxVUFjqXOtuYIR2fSDXxEyQFQWqMtcO8hbqpmRKTJgMlq2b2pp1CvaVZi8qDWZc1UfMJ/s1216/545454.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="454" data-original-width="1216" height="149" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbhVvFq7ApKjk62xfZgWckuqKT68PjFSK1MekL73atnDUcEODdyvi63ESGNVX5o4Z74I5ZesNUUxVUFjqXOtuYIR2fSDXxEyQFQWqMtcO8hbqpmRKTJgMlq2b2pp1CvaVZi8qDWZc1UfMJ/w400-h149/545454.png" width="400" /></a></div><p style="text-align: center;"><span style="font-size: x-small;"><i>Fig.4: Pronóstico para el ciclo 25 (NOAA, 4/08/21). </i></span><br /></p><p style="text-align: center;"> </p></div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-57274134703828711872021-08-11T00:53:00.002+02:002021-08-11T01:15:49.687+02:00Perseidas 2021<p style="text-align: justify;">Tras el buen sabor de boca que nos ha dejado nuestra participación en el <a href="https://www.demandafolk.com/">Demanda Folk</a>, encaramos otro de los clásicos del verano: las <b>lágrimas de San Lorenzo (o perseidas)</b>. En esta <a href="http://astrodemanda.blogspot.com/2015/08/perseidas-2015.html">entrada</a>
anterior que hicimos hace ya algunos años se explica con detalle lo que
son las estrellas fugaces (o meteoros) en general, y las perseidas en
particular.</p><p style="text-align: justify;">Para este año los pronósticos para su observación son buenos. Por un lado, el brillo de la Luna no supondrá un gran problema (se encuentra en fase creciente tras ser nueva el pasado domingo). Por el otro, las <b>condiciones climatológicas son óptimas</b>: se esperan cielos despejados y temperaturas agradables, incluso para Burgos. </p><p style="text-align: justify;">De acuerdo con las predicciones para 2021, se espera el<b> máximo al inicio de la noche (hasta las 24h o algo más) del jueves al viernes</b>. Algunos autores señalan un posible máximo secundario horas antes durante el día que, obviamente, no podremos ver desde nuestras latitudes. La máxima actividad se estima en torno a los <b>100 meteoros por hora</b>. Eso sí, siempre <b>en condiciones ideales</b>: total oscuridad, altura elevada y la posición del radiante lo más alta posible en el cielo. Ahora bien, Perseo a esas horas no se va a encontrar todo lo alto que nos gustaría y además, aunque hay poca luna, algo molestará, por lo que <b>no deberíamos esperar unos números tan elevados en realidad</b>.</p><p style="text-align: justify;"> <br /></p><p style="text-align: justify;"><span style="font-size: large;"><u>CONSEJOS DE OBSERVACIÓN:</u></span></p><p style="text-align: justify;">-Antes de nada, <u><b>no esperemos ver, según llegamos, "miles" de estrellas fugaces en cinco minutos</b></u>: esto es la vida real, no una película. Merece la pena tener paciencia y dedicar un buen rato. Seguramente veamos decenas de ellas (perseidas o no, como en otras noches cualquiera).<br /></p><p style="text-align: justify;">-Ya que vamos a estar un rato, merece la pena <b>hacer lo más cómoda posible nuestra observación</b>: llevar sillas, mantas
para echarse en el suelo ... Una chaquetilla (que nunca se sabe) y un
pantalón largo (más por evitar las picaduras de insectos o roces con las
plantas) serían aconsejables. <br /></p><p style="text-align: justify;">-Imprescindible <b>alejarse de las ciudades y sitios iluminados</b>. La gran mayoría de las estrellas fugaces, que son más débiles, nos las perderemos con demasiada luz.<br /></p><p style="text-align: justify;">-Una vez llegados a nuestro lugar de observación<b> evitar encender luces</b> (linternas, móviles ...). La vista tarda del orden de los 20 minutos en acostumbrarse a la oscuridad. Al igual que antes, cuanto más sensible sea nuestra vista, más meteoros veremos.</p><p style="text-align: justify;">-Por último, aunque se pueden observar por todo el cielo, mirando más hacia el Norte, donde están las constelaciones de las Osas (fácilmente reconocibles por la mayoría) o el Este (Casiopea) tal vez sea más fácil detectarlas, aunque, insisto, <b>en cualquier parte del cielo deberíamos poder observarlas</b> y eso ya dependerá de las condiciones de visibilidad del lugar donde nos encontremos.<br /></p><p style="text-align: justify;"><br /></p><h4 style="text-align: justify;"><span style="font-weight: normal;"><i>Ahora sólo queda ya salir a observar. Si sirve de aliciente, durante estos días ya hemos visto un montón, algunas muy chulas y brillantes ... ¡Buena suerte!</i></span><br /></h4><p style="text-align: justify;"><br /></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;"> </p><p style="text-align: justify;"><br /></p>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-60723071678964074492021-07-23T02:31:00.002+02:002021-07-23T03:01:16.244+02:00Demanda Folk 2021<p></p><p><br /></p><p style="text-align: justify;">Tras el obligado parón del año pasado a causa de la situación originada por la pandemia, retomamos en unos días nuestra participación en el <span style="color: #2b00fe;"><a href="https://www.demandafolk.com/">DEMANDAFOLK2021</a></span>, este año con un formato diferente al habitual, adaptado a la situación actual.<br /></p><p> </p><div class="separator" style="clear: both; text-align: center;"><img border="0" data-original-height="378" data-original-width="700" height="288" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjESeY9juGNZ_0cJLaVJb6RmfJxXLDdltnfXeDsfha92sJWPTJCZl-8yukhfseZ9gstQf80DZzX6gZUk38enEStOv7IssQjmxHT48ehcNDgHU9Lg5GEszOsfqjFsZl6rS1obiyLoEh0wV9F/w532-h288/astrodemandafolk2014.jpg" width="532" /></div><div class="separator" style="clear: both; text-align: center;"> </div><p></p><p>En esta edición llevaremos a cabo dos observaciones públicas:</p><p> </p><h4 style="text-align: left;"><span style="font-family: verdana;"><span style="font-size: small;">-Viernes 30 de julio en el campo de fútbol de Quintanilla de Urrilla</span></span></h4><h4 style="text-align: left;"><span style="font-family: verdana;"><span style="font-size: small;"> </span></span></h4><h4 style="text-align: left;"><span style="font-size: small;"><span style="font-family: verdana;">-Miércoles 4 de agosto en la explanada de Vallejimeno</span></span></h4><h4 style="text-align: left;"><span style="font-size: small;"><span style="font-family: verdana;"> </span><br /></span></h4><p style="text-align: justify;"><span style="font-size: small;"><span style="font-size: small;">Las personas que quieran disfrutar con nosotros del cielo veraniego, en cumplimiento de las
recomendaciones sanitarias y para poder controlar el aforo, deberán
reservar previamente su asistencia <span style="color: #2b00fe;"><a href="https://linktr.ee/demandafolk">en este enlace</a></span>.</span></span><u><span style="font-size: small;"> </span></u></p><p style="text-align: justify;"><u><span style="font-size: small;"><br /></span></u></p><p style="text-align: center;"><i><u><span style="font-size: small;">Ambas actividades comenzarán a las 23 h, </span><span style="font-size: small;"><span style="font-size: small;">siendo obligatorio el uso de la mascarilla, </span>con un aforo máximo de 50 personas y un precio de 2€.</span></u></i></p><p><br /></p><p><span style="font-size: small;">Nos vemos en la Demanda en una semana, cielos oscuros ... <span style="font-size: large;">¡y que la Sierra baile!</span><br /></span></p><p><span style="font-size: small;"><br /></span></p><h1 style="text-align: left;"><span style="font-size: small;"> </span><br /></h1>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-84566750921678243512021-05-14T03:11:00.000+02:002021-05-14T03:11:04.835+02:00Un par de fotos curiosas<p> Quería compartir con los lectores un par de fotos astronómicas, algo curiosas en el sentido de que no son lo que la mayoría de la gente se espera.</p><p style="text-align: justify;"> La primera la hice ayer desde mi terraza. Se trata de la <b><span style="color: #783f04;">conjunción de la Luna y Mercurio</span></b> (acercamiento máximo observado en el cielo desde la Tierra). Son fenómenos relativamente habituales que no dejan de llamar nuestra atención. Ambos cuerpos se encontraron ayer muy cerca, unos 2,5º (la mitad del campo de visión de unos prismáticos normales 10x50 para situarnos). Mercurio al ser el planeta más cercano al Sol resulta muy esquivo y nunca lo encontraremos muy alto en el cielo y, por tanto, mucho después de atardecer (o mucho antes del amanecer). En este caso, el que la luna apenas tuviera dos días lo hacía más interesante por el contraste entre las partes iluminada y no iluminada (la llamada luz cenicienta).<br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDxoCsfjpMyUUfXVumToeaKhXOgF-_Bh5I8kn98sGTl5vOGmUcARHS50skv5WOK52Xh2UYTJ8MGe-fBKE78-ToEqNGUZdPCino2Z_MnroZEnnFb9ixn0lztjX5OWg1yJH1Gt36sk9ZYlI/s2048/Congiunzione_luna_mercurio2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1365" data-original-width="2048" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDxoCsfjpMyUUfXVumToeaKhXOgF-_Bh5I8kn98sGTl5vOGmUcARHS50skv5WOK52Xh2UYTJ8MGe-fBKE78-ToEqNGUZdPCino2Z_MnroZEnnFb9ixn0lztjX5OWg1yJH1Gt36sk9ZYlI/w400-h266/Congiunzione_luna_mercurio2.jpg" width="400" /></a></div></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div> <i> <span style="font-size: x-small;">Conjunción Luna-Mercurio del 13 de mayo de 2021</span></i><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: justify;"> La segunda de las fotos es un <span style="color: #783f04;"><b>halo solar</b></span> que me encontré el otro día (4 mayo) cuando salí a la terraza a hacer mis habituales observaciones solares. Es un fenómeno meteorológico poco habitual (de hecho, un círculo perfecto como este es la primera vez que lo veo) que tiene que ver con la refracción de la luz solar (o lunar, que también los hay nocturnos) producida por pequeños cristales de hielo situados en la alta atmósfera. El halo, al menos desde que yo lo observé, duró muy poco y apenas se mantuvo visible unos 5 minutos, justo para coger el móvil y hacer un par de fotos.</div><div class="separator" style="clear: both; text-align: justify;"> </div><div class="separator" style="clear: both; text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMhxNsjKWSPEE7F8hkTBUlta3KoHZ1bLPNn_X67WeVV6YZwq942gw9H4A9697gyPMQQeZpBFaIsKdEy0swyEMCoGteztXRzzY0t-QzRcSGy7dOHUvQF82khrmHByF-LU171GbYT00OI9M/s2048/Halo_solar_JAS.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1536" data-original-width="2048" height="300" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgMhxNsjKWSPEE7F8hkTBUlta3KoHZ1bLPNn_X67WeVV6YZwq942gw9H4A9697gyPMQQeZpBFaIsKdEy0swyEMCoGteztXRzzY0t-QzRcSGy7dOHUvQF82khrmHByF-LU171GbYT00OI9M/w400-h300/Halo_solar_JAS.jpg" width="400" /></a></div> <b><i> </i></b><i><span style="font-size: x-small;">Halo solar observado el pasado día 4</span></i></div><div class="separator" style="clear: both; text-align: justify;"><i><span style="font-size: x-small;"> </span></i></div><div class="separator" style="clear: both; text-align: justify;"><i><span style="font-size: x-small;"> </span></i><br /></div><div class="separator" style="clear: both; text-align: justify;"> Esperemos que ahora que se ha retirado el toque de queda y a medida que el ritmo de vacunación aumente podamos recuperar una cierta normalidad y retomar nuestras actividades y observaciones con la llegada del buen tiempo.<b> ¡Nos vemos en verano!</b><br /></div><div class="separator" style="clear: both; text-align: center;"> </div><br /><p></p>Javierhttp://www.blogger.com/profile/10816124329460297624noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-41824008626233113182021-04-23T22:46:00.003+02:002021-04-24T02:22:47.979+02:00Yo conocí a Comellas<p> y en un día tan triste como hoy es con lo que me quiero quedar: el haber tenido la suerte de conocer en persona a una <span style="color: #783f04;"><i><b>figura excepcional que ha sido y seguirá siendo historia de nuestra astronomía</b>,</i></span></p><p> <span style="font-size: large;"><b> Maestro Comellas, DEP</b></span></p><p style="text-align: center;"><span style="font-size: large;"><b><img alt="" class="entry-thumb" height="211" src="https://revistaregistradores.es/wp-content/uploads/2019/03/JOSE-LUIS-COMELLAS-4-2-696x368.jpg" title="Foto: Millán Herce Pagliai" width="400" /></b></span></p><div style="text-align: justify;"><span style="font-size: large;"><b> </b><span style="font-size: small;"> Esta tarde, a la edad de 93 años fallecía en su Sevilla de adopción Don José Luis Comellas y nos dejaba un poco huérfanos a todos aquellos, que como yo, hemos crecido descubriendo y disfrutando las maravillas del Universo gracias a él. Quién no conoce su <span style="color: #783f04;"><i><b>"Guía del Firmamento</b>"</i></span>, la biblia de la astronomía en español. ¡Cuántas veces y con qué ilusión! observaba a través de mi telescopio los detalles de la Nebulosa de Orión o de las Pléyades o saltaba de estrella en estrella para buscar esa doble tan bonita ... parecía que el propio Comellas estuviera a mi lado guiándome. ¡Ay! ¡Qué tiempos en los que internet y lo digital no existían! La astronomía visual y la fotografía química eran las herramientas que teníamos a nuestra disposición. No había prisas y un buen libro era esencial. </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"><br /></span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> Recuerdo una tarde en la que estando en mi casa descubrí su <b><span style="color: #783f04;"><i>"Historia de España Moderna y Contemporánea"</i></span></b>: resulta que no sólo era astrónomo sino también historiador. De hecho era al revés, <span style="color: #783f04;"><b>un historiador al que le gustaba la astronomía</b></span>. Y la música. Y tantas otras cosas. Sobre casi todas ellas escribió, resultando ser un <span style="background-color: white;"><span style="color: #783f04;"><b>autor muy prolífico</b></span></span>, con más de medio centenar de publicaciones. Su Curriculum es espectacular y ha sido premiado en varias ocasiones. No quiero alargarme así que sólo diré que fue Licenciado en Filosofía y Letras por la Universidad de Santiago, Doctor en Historia por la Complutense, Catedrático de Historia de España Moderna y Contemporánea en la Universidad de Sevilla, así como miembro de la Real Academia de la Historia. </span></span><br /></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> Quería compartir como una vez nos animamos a escribirle porque nos hacía ilusión conocerle y tener de recuerdo alguno de sus libros fimardos. Pensábamos que podría molestarle pero fue todo lo contrario, conocimos a una <span style="color: #783f04;"><b>persona muy cercana y entrañable</b></span>. Era julio de 2011 y en verano, según nos contó, solía trasladarse a casa de sus hijos en Pamplona para escapar un poco del calor de Sevilla. Nos invitó a acercarnos y allí, en su casa, nos recibió junto a su mujer. Una pareja encantadora, con una gran complicidad. Estuvimos un par de horas en un ambiente muy muy agradable y acabamos más tiempo hablando de historia que de astronomía. Al final, incluso nos regaló su último libro <i>"La guerra civil europea"</i> que guardo en casa con gran cariño.<br /></span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-size: small; margin-left: 1em; margin-right: 1em;"> <img alt="" height="427" 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" width="640" /></span></div><div style="text-align: justify;"><span style="font-size: large;"></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> En 2014, nos volvimos a encontrar, esta vez en Granada, durante la celebración del Congreso Estatal de Astronomía en el que la astronomía amateur española aprovechó para rendirle un muy merecido (y tal vez algo tardío) homenaje. Fue curioso, como en medio de tanta gente, nos renocieron (no iba a ningún lado sin su mujer). Yo pensé que lo decían por decir, ya que en aquel momento eran personas de una cierta edad y además estarían hartas de recibir visitas como la nuestra. Sin embargo, tras saludarnos, enseguida añadieron "<i>Hombre, aquí están los químicos de Burgos</i>" y ahí ya se despejaron mis dudas.<br /></span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> Termino aquí que no quiero alargarme mucho, pero el Maestro merecía unas palabras y nuestro recuerdo. <span style="color: #783f04;"><i>Quién sabe donde estará ahora pero quiero imaginármelo en algún lugar del cielo contemplando de cerca, como tantas veces antes, las estrellas, eso sí, las dobles ;)</i></span><br /></span></span></div><div style="text-align: center;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> <a href="https://sevilla.abc.es/sevilla/sevi-muere-sevilla-93-anos-astronomo-historiador-jose-luis-comellas-202104231100_noticia.html">Muere en su casa de Sevilla a los 93 años el astrónomo e historiador José Luis Comellas</a></span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> <a href="https://www.elmundo.es/ciencia-y-salud/ciencia/2021/04/23/6082abb5fdddff728d8b4638.html">Muere a los 93 años José Luis Comellas, un referente para los astrónomos</a></span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> <a href="https://es.wikipedia.org/wiki/Jos%C3%A9_Luis_Comellas">Comellas en la wikipedia</a> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> <a href="https://www.youtube.com/watch?v=2dnBUKdX3gw">Homenaje a Comellas en el CEA de Granada</a> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;"> </span></span></div><div style="text-align: justify;"><span style="font-size: large;"><span style="font-size: small;">Lo digo con orgullo: yo, conocí a Comellas </span></span><br /></div>AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-10239955024442526542020-06-20T21:19:00.000+02:002020-06-20T21:19:57.692+02:00Un Sol bajo mínimos<div style="text-align: justify;">
Pues sí, <span style="color: #990000;"><b>el Sol está inmerso de lleno en su época de más baja actividad</b></span>: prácticamente nula (refiriéndonos siempre a la presencia de manchas sobre su superficie, reflejo del campo magnético). Algunos medios de prensa y páginas web, dejándose llevar por la superficialidad de estos días y buscando titulares espectaculares (y muchas veces vacíos) que aumenten su número de visitas, auguran un "catastrófico" nuevo <a href="https://es.wikipedia.org/wiki/M%C3%ADnimo_de_Maunder">mínimo de Maunder</a>. Esto no es nuevo y también durante el mínimo anterior sucedió lo mismo. Me acuerdo que ya en 2008 presenté en el XVIII CEA de Huesca, una ponencia precisamente sobre esto, titulada <i>"¿Qué le pasa al Sol? Nada"</i>. Y como ahora, en absoluto estamos viviendo una situación anómala. Como ya he explicado en otras ocasiones, el Sol <span style="color: #990000;"><b>sigue unos ciclos de actividad de una duración media en torno a los 11 años</b></span>, conocido por ello como ciclo undecenal. En los periodos de máximo se pueden ver al mismo tiempo muchas manchas (y muy complejas), algunas visibles a simple vista (siempre con la protección adecuada) como la de la Fig. 1:</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimnyFHt5Kt6VrE16rFgKfd4BzRMlwMHZbp4OOdfdtXPyuNAaeRpOV5rBHka6st-h_wl44yiFEC6e7NrXzY6Jlo39C-q92KJhyphenhyphenPrnbgudUNgBbsQHf3FqM2TLB8o3h2E_9ObSulO6044KI/s1600/2192_blog.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="790" data-original-width="784" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimnyFHt5Kt6VrE16rFgKfd4BzRMlwMHZbp4OOdfdtXPyuNAaeRpOV5rBHka6st-h_wl44yiFEC6e7NrXzY6Jlo39C-q92KJhyphenhyphenPrnbgudUNgBbsQHf3FqM2TLB8o3h2E_9ObSulO6044KI/s400/2192_blog.png" width="396" /></a></div>
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<i><span style="font-size: x-small;">Fig. 1: Imagen del Sol durante el máximo del actual ciclo. En el centro se puede observar la mancha 2192, la mayor de los últimos 30 años, unas ¡15 veces más grande que la Tierra! (Fotografía tomada el 23-10-14 con un R90 con filtro milar mediante proyección)</span></i></div>
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Sin embargo, <span style="color: #990000;"><b>en los momentos de mínimo</b></span>, como el actual, <span style="color: #990000;"><b>es normal que en muchos de los días no se vean manchas</b></span> y, en los casos que las haya, éstas suelen tener una estructura muy simple y una vida muy efímera. En estos momentos, para valorar el nivel de actividad, es más habitual contar el número de dias sin manchas. En este tipo de gráficas, el comportamiento del ciclo es el contrario del que estamos acostumbrados a ver en las gráficas habituales (como la de la Fig. 3). El máximo (o pico) de la gráfica corresponde con <span style="color: #990000;"><b>el mayor número de días sin manchas</b></span>, es decir, con el mínimo del ciclo. En la Fig. 2 se ha representado este valor durante los últimos cien años y lo primero que nos llama la atención es que <span style="color: #990000;"><b>2019</b></span> fue el año con menos manchas (aproximadamente en el 75% de los días del año no hubo ninguna). Sin embargo, hay que tener en cuenta que en el ciclo 23, durante dos años consecutivos (2008 y 2009), se alcanzaron valores ligeramente menores a los de 2019. Esto supuso que durante el ciclo anterior en más de 800 días no hubiera manchas, casi 100 días más que en el actual, aunque a estos valores todavía nos quedan muchos días que sumar y no sabemos hasta dónde llegaremos. Lo que está claro es, que desde este punto de vista, ambos ciclos están siendo muy parecidos, con una actvidad más bien moderada.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFSKELtHFCB12Z2u-GrB3CBHwa2Ah94oe7GHlqnKlfOL_4KU2HPWPsEETR5TpSWXXEEOgberfvTCEg3aLo_ddDeHE0Sgg_CxeWhhgssTKwz7DDSGjEiUGDRSAaVFhyphenhyphenCRsTxpxlTsbMcZg/s1600/sin_manchas_blog.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="612" data-original-width="812" height="301" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFSKELtHFCB12Z2u-GrB3CBHwa2Ah94oe7GHlqnKlfOL_4KU2HPWPsEETR5TpSWXXEEOgberfvTCEg3aLo_ddDeHE0Sgg_CxeWhhgssTKwz7DDSGjEiUGDRSAaVFhyphenhyphenCRsTxpxlTsbMcZg/s400/sin_manchas_blog.png" width="400" /></a></div>
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<i><span style="font-size: x-small;">Fig. 2: Número de días sin manchas durante los últimos cien años, abarcando desde el ciclo 15 hasta el actual.</span></i></div>
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<span style="font-size: large;">ACTUALIZACIÓN DE LA ACTIVIDAD SOLAR: FINAL DEL CICLO 24</span></h2>
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En este momento, dos años después de la<a href="https://astrodemanda.blogspot.com/2018/06/primeros-grupos-del-nuevo-ciclo-solar.html"> última actualización</a> que hice con motivo de la aparición de los primeros grupos del nuevo ciclo, la actividad continúa en niveles muy muy bajos, aún más si cabe, parecidos a los del anterior ciclo, en torno a las dos unidades.<span style="color: #990000;"><b> Hablamos siempre de la actividad suavizada</b></span> (línea gris en la Fig. 3), no de la bruta (media mensual), con mucho más ruido. Este suavizado no es más que una media que tiene en cuenta, además del mes en curso, los seis meses anteriores y los seis posteriores. Por ello, aunque tenemos datos brutos hasta mayo, los datos suavizados sólo alcanzan hasta noviembre. Además, en este momento, los datos de 2020 todavía no son definitivos (aunque los valores oficiales serán prácticamente idénticos). Como decía, con los datos actuales en la mano <span style="color: #990000;"><b>parece que el hemisferio sur ya ha alcanzado su mínimo a mediados de 2019</b></span> (con un valor de 0,3 unidades desde mayo a julio). Con una actividad en torno a la unidad el hemisferio norte sigue en descenso, al igual que el valor total, aunque<span style="color: #990000;"><b> el comienzo del ciclo 25 es ya inminente.</b></span></div>
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Como ya se ha comentado en otras ocasiones, conviene recordar que <b><span style="color: #990000;">el comienzo (o final) de un ciclo viene siempre referido al mínimo de la curva de la actividad suavizada</span></b> que, como decía antes, no se corresponde con el momento actual, ya que hay un desfase de medio año por la estadística empleada. En estos momentos (noviembre 2019) <span style="color: #990000;"><b>se cumplen los 11 años del ciclo 24</b></span>, que lo sitúa en la media en cuanto a duración se refiere. <b><span style="color: #990000;">Durante el mínimo entre dos ciclos</span></b>, el viejo va desapareciendo paulatinamente a la vez que se va desarrollando el nuevo. La consecuencia de este solapamiento es la convivencia de <b><span style="color: #990000;">grupos de ambos ciclos durante un tiempo</span></b>. Por ejemplo, en el anterior mínimo, el primer grupo del ciclo nuevo apareció un año antes del comienzo oficial del mismo. ¿Qué está sucediendo ahora?</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjph8RnE7GKxwiliIaz9hsyDrNriUX12UJT2xomVL3qh-lYGa1yVcclxRXbiaJEm_NjKniwHpdSsiFADZ06rE8BQkrHjR-jFM7Ro3qtinWZapNBHubNgsWzkxU_1WD4KyCXLIqdo_UhsWk/s1600/Entrada_sol_may20_2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1108" data-original-width="1600" height="276" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjph8RnE7GKxwiliIaz9hsyDrNriUX12UJT2xomVL3qh-lYGa1yVcclxRXbiaJEm_NjKniwHpdSsiFADZ06rE8BQkrHjR-jFM7Ro3qtinWZapNBHubNgsWzkxU_1WD4KyCXLIqdo_UhsWk/s400/Entrada_sol_may20_2.png" width="400" /></a></div>
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<i><span style="font-size: x-small;">Fig. 3: Actividad solar mensual de los dos últimos ciclos, en bruto y alisada (total y por hemisferios).</span></i></div>
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<span style="font-size: large;">CAMBIO DE TENDENCIA: ¿PRINCIPIO DEL CICLO 25?</span></h2>
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<span style="color: #990000;"><b> El primer grupo del nuevo ciclo</b><span style="color: black;">, RA2694,</span><b> apareció en enero de 2018</b></span> y, desde entonces, han pasado ya dos años y medio y seguimos sin comenzarlo de manera oficial. Entonces, ¿todo sigue igual? Pues la verdad es que no. A pesar de que no podamos decir que el ciclo 25 haya comenzado, lo cierto es que desde finales del año pasado el peso de la actividad está recayendo sobre los grupos nuevos.</div>
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Si nos fijamos en los grupos (con numeración NOAA) que han aparecido en los últimos tres años, encontramos en total 101 (del 2665 al actual 2765). La gran mayoría de ellos ha generado manchas muy efímeras de tipo A, e incluso en algún caso (como por ejemplo el 2764, que ha estado transitando estos días al mismo tiempo que el 2765) el campo magnético no ha sido suficientemente intenso como para generar una mancha. Al representar el número de grupos observados, agrupados por trimestres para que la muestra sea más significativa dada la poca actividad existente, se pueden observar dos tendencias claras. La primera es que<span style="color: #990000;"> <b>los grupos del nuevo ciclo, desde el último trimestre de 2019 superan ya a los del viejo</b></span> (Fig. 4 parte superior). Hasta ese momento se veía cómo el número de grupos (casi en su totalidad del ciclo 24) iban disminuyendo progresivamente. A partir de finales del año pasado parece que el número de grupos se ha estabilizado principalmente gracias a la aparición de los grupos del ciclo 25. La segunda, y más importante, es que esta tendencia cada trimestre parece ir a más y <span style="color: #990000;"><b>en la actualidad los grupos del ciclo nuevo suponen ya el 85% del total</b></span> (Fig. 4 parte inferior), señal inequívoca del momento en que nos encontramos.</div>
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<span style="font-size: x-small;"><i>Fig. 4: Arriba: Número de gupos desde el tercer trimetre (T3) de 2017 hasta la actuliadad. Abajo: porcentaje (en tanto por uno) de grupos del nuevo ciclo respecto al total. La flecha indica el momento en que el primer grupo del ciclo 25 apareció.</i></span></div>
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Estos números podrían indicar que el mínimo del ciclo se habría producido ya entre el tercer y el cuarto trimestre del pasado año. Un <a href="https://arxiv.org/pdf/2006.04669.pdf">reciente estudio</a>, sobre la abundancia de helio en el viento solar parecería confirmar lo mismo. Sin embargo, todavía es pronto para saber a ciencia cierta si el ciclo 25 ha comenzado o no, <span style="color: #990000;"><b>lo único que está claro es que </b><b>nos encontramos o justo al final del 24 o justo al principio del 25</b></span>. En unos meses saldremos de dudas.</div>
<br />Javierhttp://www.blogger.com/profile/10816124329460297624noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-60627888575902948382020-04-05T22:13:00.000+02:002020-04-05T22:13:16.139+02:00La astronomía en los tiempos de la pandemia: Betelgeuse (III)<!--[if gte mso 9]><xml>
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<br />
<div style="text-align: justify;">
Con esta tercera entrega se cierra la
trilogía, que usando a Betelgeuse como hilo conductor, me ha servido para
tratar la evolución de las estrellas masivas. </div>
<br />
<div style="text-align: justify;">
No lo había comentado
hasta ahora, pero <b><span style="color: #783f04;">la evolución de una estrella
viene determinada por su masa inicial: cuánto mayor sea ésta, menor será su
vida</span></b>. Las estrellas más masivas, para mantener el equilibrio
hidrostático necesitan más energía y, por tanto, tardan menos en quemar su
combustible. Una estrella como Betelgeuse (con 20 veces la masa del Sol) tendrá
una vida de <i>tan solo</i> unos 8 millones de años, nada si lo comparamos con
los 10000 millones del Sol. Además, <b><span style="color: #783f04;">su evolución
estelar también será diferente</span></b>: mientras que el Sol morirá como una
enana blanca, dejando tras de sí una hermosa nebulosa planetaria, Betelgeuse
explotará originando lo que será la supernova conocida más cercana a
nuestro planeta. Veámoslo con un poco de detalle.</div>
<br /><br />
<h2>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">LA VIDA COMO
SUPERGIGANTE ROJA</span></h2>
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<br /></div>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Una vez que la estrella se ha convertido
en una supergigante roja, permanecerá en esta fase todo lo que le queda de
vida, <span style="color: #783f04;"><b>apenas un millón de años</b></span>. La estrella, con una temperatura central alrededor
de los 200 millones de grados, quemará el helio del núcleo formando carbono y
oxígeno. De manera análoga a lo que sucedía cuando la estrella había consumido
todo el hidrógeno (como vimos en la entrada anterior), <span style="mso-spacerun: yes;"> </span>una vez que el helio se agota, el núcleo se
contrae aumentando considerablemente su temperatura. En el momento en que
ésta<span style="mso-spacerun: yes;"> </span>supera aproximadamente los 800
millones de grados comienza la ignición del carbono. En apenas 2000 años se
termina el combustible y <b><span style="color: #783f04;">se repite el proceso, que</span></b> como vemos <b><span style="color: #783f04;">cada vez es mucho
más rápido y mucho más energético</span></b>. A continuación, a una temperatura próxima a
los 1600 millones de grados y en algo menos de un año, se quema el neón que se
formó durante la combustión del carbono. De esta manera, en etapas sucesivas cada
vez más cortas, se siguen quemando elementos más pesados hasta llegar al azufre
y el silicio. Esta es la última etapa antes del colapso de la estrella: en
apenas dos semanas, con una temperatura en el núcleo por encima de los 3300
millones de grados, la estrella quema estos últimos elementos originando un
núcleo inerte de hierro y níquel. Llegados a este momento, <i>pre-supernova</i>, la
estrella ha adquirido la llamada <b><span style="color: #783f04;">estructura en capas de cebolla</span></b>, donde de
manera concéntrica, se dispone el material que se ha ido produciendo en cada
una de las etapas que hemos visto:</span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> </span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXRI0HoTTJrHUBTCrxO4tYODSBbZAVsjLGn0ASYdSOOrcOp6AD46BqrESh1v9LzAywAGuPh6gU6ZRZNpndxyV9RNK3pHZUivjAOvVBmsI20OLwtd-SHXNY77vAp2g78p5HqD4pp__p8X0/s1600/c13e8de20b7f6c578f90dee78269e56a98f2670e_large.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXRI0HoTTJrHUBTCrxO4tYODSBbZAVsjLGn0ASYdSOOrcOp6AD46BqrESh1v9LzAywAGuPh6gU6ZRZNpndxyV9RNK3pHZUivjAOvVBmsI20OLwtd-SHXNY77vAp2g78p5HqD4pp__p8X0/s320/c13e8de20b7f6c578f90dee78269e56a98f2670e_large.jpg" width="320" /></a></div>
<br />
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Esquema, no a escala, de la
estructura en capas de cebolla de una estrella masiva justo antes del colapso
que dará lugar a una supernova</span></i></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;"> </span></i></div>
<br />
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UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">Y FINALMENTE … UNA
SUPERNOVA</span></h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Una
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límite de Chandrasekhar</span></b> y la desestabilización es definitiva, ya no hay vuelta
atrás. Se sigue contrayendo y al llegar en torno a los 10000 millones de
grados, la radiación emitida en el núcleo es tan energética que es capaz de
romper el hierro en elementos más pequeños (<b><span style="color: #783f04;">fotodesintegración</span></b>) hasta
convertirlo mayoritariamente en una <i>“sopa”</i> de protones y neutrones. </span></div>
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a las condicones de alta densidad y temperatura, <span style="color: #783f04;"><b>los electrones del núcleo son
capturados por los protones</b></span>. Este proceso tiene dos consecuencias. La primera
es la formación como resultado de esta reacción de un flujo enorme de neutrones
(todavía más de los que ya había) y de neutrinos. Por otro lado, la
desaparición de los electrones, que hasta ahora eran los que con su presión
contrarrestaban el peso de las capas superiores, facilita el <b><span style="color: #783f04;">colapso del núcleo
en apenas un segundo</span></b>, hasta alcanzar una densidad similar a la del núcleo de un
átomo. En este momento <b><span style="color: #783f04;">la presión que ejercen los neutrones es la clave para
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la masa del Sol, como en el caso de Betelgeuse, el colapso se detiene
formándonse lo que será una <b><span style="color: #783f04;">estrella de neutrones</span></b>. Si, en cambio, su masa es
mayor, la presión ejercida por los neutrones no será suficiente para detener el
colapso y se acabará originando un agujero negro. </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Al
mismo tiempo que sucede todo esto en el núcleo, las capas más externas que estaban
cayendo sobre él como consecuencia de la ruptura del equilibrio hidrostático, se
encuentran primero con la radiación energética que está desintegrando los átomos
de hierro, frenando su caída y posteriormente con el <span style="color: #783f04;"><b>flujo de neutrinos</b></span>. Estos
neutrinos, estaban atrapados “cayendo” durante el colapso. En el momento en que
éste se frena rebotan como un muelle y salen despedidos hacia el exterior <b><span style="color: #783f04;">a</span></b> <span style="color: #783f04;"><b>velocidades
supersónicas creando una onda de choque que se llevará por delante la envoltura
de la estrella que estaba precipitándose sobre el núcleo</b></span>, liberándose una
ingente cantidad de energía. Se acaba de producir una <b><span style="color: #783f04;">supernova</span></b> (concretamente
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enriquece el medio interestelar y servirá para formar la siguiente generación
de estrellas, cerrándose el <i>“ciclo de la vida”</i>.</span></div>
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</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwx2fTBr_n0uohcYzKm1kGkzRgUzs94EktmIFgQZ9uM2RvqEkCUqOZbk4sDXf7wDZhljk9AK51iGfBPLfc3d_gNS_kdck9EeYTeleR4LXohae3wICQfzPFabPk-j2PwScZrbdbQkgzCY4/s1600/hr2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="194" data-original-width="259" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwx2fTBr_n0uohcYzKm1kGkzRgUzs94EktmIFgQZ9uM2RvqEkCUqOZbk4sDXf7wDZhljk9AK51iGfBPLfc3d_gNS_kdck9EeYTeleR4LXohae3wICQfzPFabPk-j2PwScZrbdbQkgzCY4/s1600/hr2.jpg" /></a></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Sencilla animación de lo que sería
una explosión de supernova</span></i></div>
<br />
<br />
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<br /></div>
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="51"
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<w:LsdException Locked="false" Priority="52"
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<h2>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><div class="MsoNormal" style="tab-stops: 101.25pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">¿SON MUY HABITUALES
ESTAS SUPERNOVAS?</span></div>
</span></h2>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"></span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Se estima que en una galaxia como la Vía
Láctea se producen, de media, <b><span style="color: #783f04;">dos supernovas por siglo</span></b>. Esto<span style="color: #783f04;"><b> no</b></span> quiere decir
que <span style="color: #783f04;"><b>todas</b></span> sean <b><span style="color: #783f04;">visibles desde nuestra posición</span></b>, ya que si por ejemplo, la
explosión se produjera por detrás del centro galáctico pasaría completamente
desapercibida.</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Antes de la aparición del telescopio, en
base a distintos testimonios históricos y a la posterior identificación y
estudio en el cielo de sus remanentes, se han podido datar una decena de
supernovas. La más famosa, sin duda, es la que atestiguaron astrónomos chinos
en 1054 y cuyos restos, la celebérrima nebulosa del cangrejo, muchos de
nosotros hemos podido observar con nuestros telescopios. Más recientes son las
últimas visibles a simple vista que corresponden a las observadas por <i>Tycho</i> (en
1572) y <i>Kepler</i> (1604). Todas ellas se produjeron en nuestra Galaxia motivo por
el que fueron muy brillantes, alcanzando magnitudes entre la -2.5 y la -6,
igualando e incluso superando el brillo de Venus.</span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Uno de los fenómenos astronómicos más
importantes de todos los tiempos por la gran repercusión que ha tenido y
todavía tiene es la <span style="color: #783f04;"><b>supernova de 1987</b></span> (catalogada como SN 1987A). Esta
supernova explotó en la nebulosa de la Tarántula, un objeto muy conocido en los
cielos del hemisferio sur, el 23 de febrero de 1987 en la Gran Nube de Magallanes,
una pequeña galaxia satélite de la Vía Láctea. Por sí sola esta supernova
merecería toda nuestra atención ya que ha sido el laboratorio donde poner a
prueba nuestros conocimientos de varias ramas de la física, aunque entrar en
detalle está fuera de la idea de esta entrada. Sin embargo, sí quería compartir
algunas imágenes donde se ve cómo era la estrella unos años antes de explotar,
poco tiempo (¿horas, días?) después de la explosión y en 2017, 30 años después
de la misma, donde se aprecia el remanente tan característico que se ha
originado.</span></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7644Wumxfav2EPrM1RAgLZi7w95IBJiirzfACMy2HhA7fvtJhVG56zcPnKkxAs2F5-cmjn8J5wtMXJO0MshzP5eLkS6eqV-82pzrnZjG3WVtbpdpOBJ__-ml4AIXzmiPq1Q7eeLZwwUE/s1600/aat050a_25.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1240" data-original-width="1600" height="310" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh7644Wumxfav2EPrM1RAgLZi7w95IBJiirzfACMy2HhA7fvtJhVG56zcPnKkxAs2F5-cmjn8J5wtMXJO0MshzP5eLkS6eqV-82pzrnZjG3WVtbpdpOBJ__-ml4AIXzmiPq1Q7eeLZwwUE/s400/aat050a_25.jpg" width="400" /></a></div>
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</xml><![endif]--><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Imágenes de la región en torno a la
SN 1987A antes y después de explotar (David Malin, Observatorio Astronómico
Angloaustraliano). Llegó a ser visible a simple vista como una estrella de
tercera magnitud</span></i></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span><b><span style="color: #783f04;">En el caso de Betelgeuse, a la que todavía le faltan unos 100000 años, su explosión
sería la más espectacular vista hasta ahora debido a que se encuentra muy cerca,
a tan solo unos 650 años luz. </span></b>Como comparación, las supernovas históricas que
acabamos de comentar se encontraban en un rango entre los 6000 y 20000 años luz
y la SN 1987A, ya en otra galaxia, a unos 170000. Teniendo en cuenta todo esto,
se espera que el brillo que alcanzaría la explosión de Betelgeuse rondara la<span style="color: #783f04;"><b>
magnitud -11</b></span>, muy parecido al brillo de la luna casi llena. Durante varios
meses podríamos incluso verlo de día. A pesar de su proximidad, Betelgeuse no
está suficientemente cerca como para que su final pudiera suponer un riesgo
real para la vida en nuestro planeta.</span></div>
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</span></div>
<h2>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><div class="MsoNormal" style="tab-stops: 101.25pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">SOBRE NOVAS Y
SUPERNOVAS</span></div>
</span></h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">
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<br /></div>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Para finalizar quería hacer un inciso y aclarar,
sin entrar en muchos detalles, las <span style="color: #783f04;"><b>diferencias entre novas y supernovas</b></span>. En
ambos casos se trata de estrellas que en un momento dado explotan liberando una
gran cantidad de energía que hace posible que, de manera repentina, sean
visibles en el cielo donde anteriormente <i>“no”</i> había nada. El término procede
del latín <i>“stella nova”</i> que Tycho utilizó para referirse a la <i>“estrella nueva”</i>
de cuya aparición en el cielo había sido testigo privilegiado. Posteriormente,
al observarse que no todas las novas eran iguales, se introdujo la palabra
supernova para aludir a las más brillantes. De hecho, hoy sabemos que estas
últimas son alrededor de un millón de veces más brillantes. <span style="color: #783f04;"><b>Las novas</b></span>, sin
embargo, <b><span style="color: #783f04;">son más frecuentes</span></b>, produciéndose en torno a <span style="color: #783f04;"><b>una docena al año</b></span>. En mi
caso, puedo decir que en los últimos 15 años, con mi modesto equipo, he podido
observar media docena. De manera coloquial, teniendo en cuenta tanto su brillo
como su frecuencia,<span style="mso-spacerun: yes;"> </span>podemos suponer que
cuando se habla de supernovas nos estamos refiriendo a explosiones ocurridas en
otras galaxias mientras que en el caso de las novas hacemos referencia a las
producidas en nuestra galaxia.</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>En cuanto a su origen, <span style="color: #783f04;"><b>la mayoría de las
supernovas</b></span> que conocemos, unas tres cuartas partes, <span style="color: #783f04;"><b>se producen por el colapso
del núcleo de una estrella masiva</b></span>, tal y como se ha descrito anteriormente. Sin
embargo, el resto de supernovas (<span style="color: #783f04;"><b>las de tipo Ia</b></span>) <span style="color: #783f04;"><b>y las novas se originan</b></span>, de
manera parecida aunque no igual, <span style="color: #783f04;"><b>en sistemas binarios</b></span> cerrados donde se produce
transferencia de masa de una estrella evolucionada a una enana blanca. A
diferencia de las supernovas, en muchos casos las novas son recurrentes (no se
destruyen después de la explosión y pueden repetir el proceso varias veces antes
de morir definitivamente).</span></div>
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<div style="text-align: justify;">
<i>Con estas entradas he intentado explicar de manera sencilla y sin perder rigurosidad lo complicado que es una estrella tan grande y masiva como Betelgeuse. Espero haberlo conseguido, despertando o saciando en cada caso la curiosidad de los lectores y que la próxima vez que nuestra mirada se detenga en el cielo estrellado la veamos con otros ojos, a poder ser, desde fuera casa.</i></div>
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Javierhttp://www.blogger.com/profile/10816124329460297624noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-17626037114131353882020-03-29T21:40:00.000+02:002020-03-29T21:40:43.564+02:00La astronomía en los tiempos de la pandemia: Betelgeuse (II)<div style="text-align: justify;">
<br /></div>
<div style="text-align: justify;">
Aprovecho otro ratito de la cuarentena para seguir con la entrada sobre Betelgeuse. Una vez mostrada su variabilidad, ahora es el momento de explicar las causas que la originan, pero antes de todo esto veamos, más allá de su clasificación morfológica, en qué consiste una supergigante como nuestra protagonista.</div>
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<h2 class="MsoNormal" style="tab-stops: 101.25pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">UN POCO DE EVOLUCIÓN
ESTELAR: <span style="mso-tab-count: 1;"> ¿</span>QUÉ ES UNA
SUPERGIGANTE ROJA?</span></h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Desde un<span style="mso-spacerun: yes;"> </span>punto de vista evolutivo, <b><span style="color: #783f04;">una supergigante
roja es una estrella más masiva que el Sol, al menos unas ocho veces</span></b> (20 en el
caso de Betelgeuse), <b><span style="color: #783f04;">que se encuentra en una fase muy evolucionada</span></b> de su
existencia. Durante la mayor parte de su vida, en torno al 85% del tiempo, la
estrella se encuentra en la llamada secuencia principal quemando de manera
estable el hidrógeno de su núcleo, donde la temperatura es del orden de los 40
millones de grados, en helio. Decimos que la estrella se encuentra en
equilibrio hidrostático: la energía liberada por la fusión nuclear contrarresta
el peso de la estrella y evita que ésta se colapase.</span></div>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="index heading"/>
<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of figures"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="envelope address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="envelope return"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="footnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="line number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="page number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Sin embargo, una vez
que el hidrógeno se agota, en el núcleo tenemos sólo el helio <i>“recién”</i> formado,
inerte, que no se puede quemar a esta temperatura. Al detenerse la producción
de energía, el equilibrio hidrostático se rompe y el núcleo empieza a
contraerse bajo el peso de la estrella. Durante esta contracción, que ocurre de
manera rapidísima, en el núcleo aumenta considerablemente la presión y, por
tanto, la temperatura. Este incremento de temperatura, al propagarse hacia el
exterior, paradójicamente, provoca de manera simultánea a la contracción del
núcleo, una expansión de las capas más externas y menos ligadas
gravitacionalmente de la estrella. En estos momentos, la estrella está
quemando hidrógeno,<i> "en capa"</i>, en la región más cercana al núcleo (al haberse calentado lo suficiente), mientras que</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> cuando la temperatura
en el núcleo ha alcanzado un valor en torno a los 200 millones de grados,
comienza la fusión del helio, alcanzando de nuevo el equilibrio hidrostático. </span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> El
resultado que observamos es que <span style="color: #783f04;"><b>una estrella como Betelegeuse</b></span>, que <b><span style="color: #783f04;">durante la
secuencia principal era una estrella azul muy caliente</span></b> (con un tipo espectral O
tardío o B muy temprano y una temperatura <i>“superficial”</i> del orden de los 30000 K),
se ha inflado de manera <i>“casi instantánea”</i> hasta multiplicar por un valor
cercano a 200 su radio (o por 5 millones su volumen). Obviamente, al
expandirse, la estrella (las capas externas, que son las que vemos, la llamada
fotosfera) también se ha enfriado hasta llegar a una temperatura, como decíamos
al principio, cercana a los 3500 K, que le da una apariencia rojiza.
Manteniendo una luminosidad casi constante (en realidad aumenta ligeramente),
la estrella se ha desplazado en el célebre diagrama Hertzsprung-Russel hacia la
derecha. Ahora ya sí, tenemos una supergigante roja</span>. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghiLOWKjGfor5US17HGmmx7YOz0HbHmAktUxued8hUwt4kVdHILjZHqH0if2X0egYxNT93MMtEGZL7HjEH45vfpYtVerZhGF7alk2ltUhihO5f7pgpuYmfK54xwJGW-FnmNaWJ46B9Wbk/s1600/hr3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="847" data-original-width="800" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghiLOWKjGfor5US17HGmmx7YOz0HbHmAktUxued8hUwt4kVdHILjZHqH0if2X0egYxNT93MMtEGZL7HjEH45vfpYtVerZhGF7alk2ltUhihO5f7pgpuYmfK54xwJGW-FnmNaWJ46B9Wbk/s320/hr3.jpg" width="301" /></a></div>
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
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<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
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<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
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<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
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<div class="MsoNormal" style="text-align: center;">
<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Diagrama
HR sobre el que se muestra, grosso modo, la evolución de Betelgeuse</span></i></div>
<br />
<br />
<br />
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<br />
<h2 class="MsoNormal" style="tab-stops: 101.25pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">¿CÓMO SE EXPLICA
LA VARIABILIDAD DE BETELGEUSE?</span></h2>
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<br /></div>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>En líneas generales entendemos lo que
le está pasando a una estrella como Betelgeuse, aunque desgraciadamente eso no
quiere decir que seamos capaces de modelizar y, por tanto, predecir, su
comportamiento futuro. <b><span style="color: #783f04;">La variabilidad de Betelgeuse</span></b>, semirregular, no <b><span style="color: #783f04;">se puede
explicar mediante </span></b>un único mecanismo, sino que tenemos que recurrir a <b><span style="color: #783f04;">la
combinación de</span></b>, al menos, tres factores: <b><span style="color: #783f04;">pulsaciones, pérdidas de
masa</span><span style="color: #783f04;"> y manchas</span></b>. Veamos ahora, brevemente, en qué consiste cada uno de ellos.</span></div>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span><b><span style="color: #783f04;">Betelgeuse</span></b>, como otras muchas variables
famosas (como por ejemplo las Miras que tanto me gusta observar), <b><span style="color: #783f04;">es una
estrella pulsante de largo periodo</span></b>. Pulsante porque sus capas más externas
experimentan contracciones y expansiones periódicas, que son las responsables de
los cambios intrínsecos de brillo y temperatura que observamos. De largo
periodo porque la frecuencia de estas pulsaciones se corresponde con meses o
años (en el caso de Betelgeuse el periodo es de algo más de un año).<span style="mso-spacerun: yes;"> </span>La siguiente animación<span style="mso-spacerun: yes;"> </span>refleja cómo serían estos ciclos, a modo de
<i>“respiraciones”</i> de la estrella (como intuyera ya Shapley a principios del siglo
pasado): </span></div>
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<br /></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: center;">
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Animación que recrea la pulsación de una estrella roja</span></i></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>En contra de lo que pudiera parecer, en
este caso <b><span style="color: #783f04;">el cambio de brilllo no está relacionado directamente con el tamaño
de la estrella, sino con la velocidad de la pulsación</span></b>. La estrella será más
brillante cuando se expanda a mayor velocidad y, en cambio, alcanzará su mínimo
en el momento en que la contracción se produzca con una rapidez mayor. En este
caso la energía nuclear, que permanece más o menos constante, no es la
responsable de las pulsaciones. <b><span style="color: #783f04;">El motivo</span></b> lo encontramos en los cambios de
composición que experimenta la estrella a lo largo de su evolución, principalmente
a variaciones de hidrógeno y, sobre todo, helio ionizados. Estos cambios de
composición implican, a su vez, <b><span style="color: #783f04;">cambios en la opacidad de la estrella</span></b>, modificando
el transporte de energía hacia el exterior. </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>La siguiente figura nos ayudará a
entenderlo mejor. En un cierto momento (1) a la parte más externa de la
estrella no le llega la energía generada en el núcleo y, por tanto, cae hacia
el interior por su propio peso. Este movimiento (2) comprime el material y hace
que se caliente, volviéndose más opaco a la radiación. Debido entonces a este
aumento de la opacidad, a la energía que procede del interior le cuesta más
atravesar esta capa (3) y el material por debajo de ella empieza a calentarse.
Como consecuencia de ello, aumenta la presión, desplazando hacia afuera al
material más próximo (4). Al expandirse se enfría y se vuelve más transparente
a la radiación (5). La energía que procede del interior puede ahora escapar (6),
llegando un momento en que después de liberarse esta energía, el material
vuelve a caer hacia el interior (7) repitiéndose de nuevo el ciclo. Para
aquellos lectores más relacionados con la física podemo asumir que <b><span style="color: #783f04;">la estrella
se está comportando como un oscilador armónico</span></b>: </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzDAyNKgBYcAtJodEC7WzduWWKCHv3zZN2wXq-x_P4aNv3xSCndE8-B09Crpz-L57rLcK3cOSysriPNdgloQYazTadQmVcJCsRs_dH4l4m8gMYNoyVn3mrnMgKsz_d-xdZELOgY0IY2cE/s1600/puls2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="270" data-original-width="533" height="202" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzDAyNKgBYcAtJodEC7WzduWWKCHv3zZN2wXq-x_P4aNv3xSCndE8-B09Crpz-L57rLcK3cOSysriPNdgloQYazTadQmVcJCsRs_dH4l4m8gMYNoyVn3mrnMgKsz_d-xdZELOgY0IY2cE/s400/puls2.jpg" width="400" /></a></div>
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span><b><span style="color: #783f04;">Estos ciclos son los responsables
principales de la variabilidad de Betelgeuse.</span></b> En ellos la estrella experimenta
grandes cambios, pudiendo llegar a modificar su tamaño algo más del 50% (lo que
equivaldría a variacions del tamaño de la órbita terrestre). Sin embargo, son
otros procesos más aleatorios, no periódicos, los que modulan el brillo de
Betelgeuse volviendo menos regular su variabilidad y haciendo casi imposible su
modelización. Tenemos que tener en cuenta que <b><span style="color: #783f04;">durante esta fase de supergigante
roja la estrella pierde mucha masa</span></b> por el viento estelar. Este proceso es
análogo al viento solar que observamos desde la Tierra pero mucho más violento:
unas ¡1000 millones de veces mayor! De esta manera la estrella está perdiendo al
año casi una cienmilésima parte de la masa solar que, aunque parece poco, es
muchísimo (prácticamente <span style="color: #783f04;"><b>el equivalente a 3 planetas Tierra cada año</b></span>). Esta
materia, principalmente silicatos que se condensan en la parte externa (más
fría) de la estrella, se acumula alrededor de ella alcanzando distancias
cercanas a las 400 unidades astronómicas (unas 10 veces el tamaño de la órbita
de Plutón). En la siguiente imagen podemos observar la <b><span style="color: #783f04;">imponente envoltura
circumestelar</span></b> que rodea a Betelgeuse:</span></div>
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyAVCErwZ6zzR-PBkbt5_mzkqw8Uo6KXUngd2ol9CcRjeTzk8cGMG5K27OZhg3H-wRG7jB4iql4jurCaZsTczLxbuTYEbUCBy-Z6M4VjEq_t73R16NQXNJXldMq8gVc9lNpBcDQ-mNiPM/s1600/Betelgeuse-dust-plumes-ESO-e1581700297475-489x360.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="360" data-original-width="489" height="235" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyAVCErwZ6zzR-PBkbt5_mzkqw8Uo6KXUngd2ol9CcRjeTzk8cGMG5K27OZhg3H-wRG7jB4iql4jurCaZsTczLxbuTYEbUCBy-Z6M4VjEq_t73R16NQXNJXldMq8gVc9lNpBcDQ-mNiPM/s320/Betelgeuse-dust-plumes-ESO-e1581700297475-489x360.jpg" width="320" /></a></div>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="footnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="line number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="page number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Imagen infrarroja donde se puede
observar el polvo que rodea a Betelgeuse. Para poder ver la estrella, en el
centro, se ha tenido que tapar una parte muy brillante de esta nebulosa. La
imagen se realizó el pasado diciembre con el instrumento VISIR en uno de los
telescopios VLT de 8,2 m que el Observatorio Europeo Austral (ESO) tiene
instalado en Cerro Paranal (Chile). </span></i></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span><span style="color: #783f04;"><b>Una de estas pérdidas de masa parece ser
la causante de la atenuación del brillo durante su último ciclo</b></span>. Si comparamos
imágenes de la estrella, cuyo tamaño y proximidad nos permite resolver su
disco, antes y durante este último mínimo podemos observar cómo ha variado su
aspecto.<span style="mso-spacerun: yes;"> </span>Más allá del debilitamiento de
la estrella se aprecia un cambio en la forma del disco, no tan redondeado.
Teniendo en cuenta que en el infrarrojo el brillo de la estrella apenas ha
cambiado, el cambio que observamos debe estar relacionado con el paso de
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOArw_gjAUKKJSO95W3lv0ubtNwdfhsCN03CZGuBqpEdg1fsqqqXmpWiCmSEvlYiDMtVglWGnUCZjYhyphenhyphenDqoN0uT7xaiJRyQ1ox7Qn7mO-Bhy-CGJ7AY9pYFjr4z9-NQr_taQKTBTb6MlQ/s1600/eso2003c1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="350" data-original-width="700" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOArw_gjAUKKJSO95W3lv0ubtNwdfhsCN03CZGuBqpEdg1fsqqqXmpWiCmSEvlYiDMtVglWGnUCZjYhyphenhyphenDqoN0uT7xaiJRyQ1ox7Qn7mO-Bhy-CGJ7AY9pYFjr4z9-NQr_taQKTBTb6MlQ/s400/eso2003c1.jpg" width="400" /></a></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Comparación en el visible del disco
de Betelgeuse antes y durante el reciente mínimo donde se puede apreciar el
cambio de forma, seguramente debido a la eyección de masa en nuestra línea de
visión. Imágenes tomadas con SPHERE en el VLT.</span></i></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Por último, para acabar, no podemos
olvidarnos de otro de los fenómenos que modulan los ciclos de Betelgeuse: sus
manchas. Al revés que en el Sol, <b><span style="color: #783f04;">las supergigantes rojas poseen celdas
convectivas de gran tamaño</span></b>. La aparición o desaparición de alguna de estas
estructuras, sea por procesos físicos o por la propia rotación de la estrella
(del orden de unos 40 años) pueden afectar también al brillo que observamos. Dos
de estas manchas se detectaron ya hace unos años mediante el uso de interferometría
en el infrarrojo. La foto, que se convirtió en <a href="https://apod.nasa.gov/apod/astropix.html">APOD</a> (imagen astronómica del día,
muy recomendable su visita) el 6 de enero de 2010, se muestra a continuación:</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj87rX4wHGITtvbjpahI1Odq3VIKEvxyCNWV0xUlnTxGTDKE7oG9a_4-TRX_bUx092wV2OXMliwqH34h2SklWdtoCy0p3QS1DyyLPXxbbL4yc-0Wtu-PeZ_1xsovzt-FEb67Ngj24OAP74/s1600/Betel_haubois800.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="740" data-original-width="800" height="185" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj87rX4wHGITtvbjpahI1Odq3VIKEvxyCNWV0xUlnTxGTDKE7oG9a_4-TRX_bUx092wV2OXMliwqH34h2SklWdtoCy0p3QS1DyyLPXxbbL4yc-0Wtu-PeZ_1xsovzt-FEb67Ngj24OAP74/s200/Betel_haubois800.jpg" width="200" /></a></div>
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longitude de onda de 1,64 micras, utilizando el interoferómetro IOTA (Arizona)
donde se aprecian dos manchas brillantes en la superficie de Betelgeuse.</span></i></div>
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<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Por hoy creo que ya es suficiente. En la próxima, y última, entrada de este ciclo me centraré en la descripción de la fase final y muerte de una estrella como Betelgeuse. ¿Deberíamos preocuparnos?</span></div>
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<br />
Javierhttp://www.blogger.com/profile/10816124329460297624noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-79195623846738505252020-03-24T19:22:00.000+01:002020-03-24T19:22:08.498+01:00La astronomía en los tiempos de la pandemia: Betelgeuse (I)<div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Aprovecho
el tiempo que me dan estos días de aislamiento para retomar, desde mi búnker de
Catania, un tema que tenía pendiente: el ¿extraño? comportamiento de Betelgeuse. </span></div>
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<br /></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Aunque como observador habitual de estrellas variables ya conocía la variabilidad
de esta estrella, fue durante nuestra cena-asamblea celebrada el pasado
diciembre cuando me enteré, por los comentarios de nuestro socio <i>“Danielín”</i>, que
Betelgeuse estaba sufriendo una caída de brillo importante. Días después la
noticia llegó también a los medios de comunicación generalistas, en los cuales
se pudieron leer titulares un tanto sensacionalistas augurando el "inminente" final de esta
estrella en medio de una gran explosión cósmica. ¿Qué hay de cierto en todo
ello? Ponerlo en su contexto nos ayudará a entenderlo mejor …</span></div>
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<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Imagen de Brian Ottum
(tomada desde Nuevo México, EEUU) donde ya se puede apreciar el debilitamiento de
Betelgeuse a primeros de año. Aunque a primera vista
parece que son iguales en seguida se puede observar que no lo son. La estrella se seguiría debilitando en las semanas posteriores todavía
media magnitud más.</span></i></div>
<br />
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">¿QUIÉN ES
BETELGEUSE?</span></h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> </span></h2>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Antes de nada conviene aclarar, para
aquellos lectores no muy familiarizados con el cielo, de qué estamos hablando.
<span style="color: #783f04;"><b>Betelgeuse, con su característico color rojizo</b></span>, es una de las estrellas más
conocidas del firmamento. Es fácilmente reconocible a simple vista, incluso
desde la ciudad, al ser una de las estrellas más brillantes del cielo.
<b><span style="color: #783f04;">Forma parte de la constelación de Orión</span></b>, ocupando lo que sería el hombro
izquierdo, según lo vemos, del mítico cazador. A pesar de su designación, </span><span style="font-size: 12.0pt; line-height: 107%; mso-ascii-font-family: Calibri; mso-bidi-font-family: "Times New Roman"; mso-hansi-font-family: Calibri;">α</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">
Ori, Betelgeuse no es la estrella más brillante de la constelación, privilegio que le
corresponde a Rígel.</span></div>
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<![endif]--><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Localización de Betelgeuse en
Orión. Izda: fotografía del cielo invernal delante de una de las cúpulas del
Observatorio de Catania tomada a finales del pasado noviembre. Dcha: Representación de
la constelación del cazador por Hevelius(Uranographia, 1690).</span></i>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"> Betelgeuse
<b><span style="color: #783f04;">es una supergigante roja</span></b>. Desde un punto de vista meramente morfológico lo
primero que deducimos es que se trata de una estrella muy grande, supergigante,
y así es, en efecto. Es muchísimo más grande que el Sol o incluso que otras
estrellas similares como Aldebarán, Arturo o Antares. Es de las pocas estrellas
en las que, por su proximidad y tamaño, su radio se ha podido medir directamente, tanto con imágenes del
telescopio espacial Hubble como por técnicas interferométricas desde la Tierra. Es del orden de 1000 veces mayor que el del Sol y, </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">para que nos hagamos una idea, </span></span>de encontrarse en su posición, <span style="color: #783f04;"><b>Betelgeuse llegaría más allá de la órbita de Marte</b></span>. </span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Por otro lado, <span style="color: #783f04;"><b>el color de las
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calientes y las rojas, las más frías, al revés que el convenio usado para
distinguir el agua que sale de nuestros grifos. Su tipo espectral, relacionado
también con el color, es de tipo M temprano, lo que se corresponde con una <span style="color: #783f04;"><b>temperatura
“superficial” en torno a los 3500 K</b></span> (bastante menor que la del Sol, 5800 K).</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><div class="MsoNormal" style="tab-stops: 101.25pt; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;">LAS
VARIACIONES DE BRILLO DE BETELGEUSE</span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> <b></b><span style="color: #783f04;"><b>La luminosidad de una estrella depende principalmente de su tamaño y de su temperatura</b></span>. Las supergigantes, gracias a su gran tamaño, tienen una luminosidad muy elevada. En el caso de <b><span style="color: #783f04;">Betelgeuse</span></b>, su valor medio, ronda <b><span style="color: #783f04;">100000 veces el valor del Sol</span></b>. Sin embargo, la mayor parte de su luz se emite en el infrarrojo, y <b><span style="color: #783f04;">en el rango visible</span></b> tan solo vemos aproximadamente <b><span style="color: #783f04;">una décima parte</span></b> del total.</span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Lo primero que tenemos que tener en
cuenta es que Betelgeuse, debido a su estado evolutivo (del que ya hablaremos),
no tiene siempre el mismo brillo. Esta <b><span style="color: #783f04;">variabilidad fue mencionada por primera
vez en </span></b><span style="color: #783f04;"><b>1836 por Herschel</b></span>. De acuerdo con los datos de la AAVSO, organización
americana que se encarga de la coordinación mundial de las observaciones de
estrellas variables, Betelgeuse es una variable semirregular (concretamente de tipo SRc) cuyo rango de variabilidad se sitúa entre las
magnitudes 0,0 y 1,6, aunque su brillo habitual suele oscilar en el rango
0,3-1,0. Estas variaciones se repiten con un periodo de 426 días, modulado por
otro más largo de 2100 (casi 6 años). <span style="mso-spacerun: yes;"><br /></span></span></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%;"><span style="mso-spacerun: yes;"> </span>Volviendo a lo que comentaba al
principio de esta entrada, a finales del año pasado me enteré que <span style="color: #783f04;"><b>Betelgeuse estaba
sufriendo uno de sus mínimos</b></span>, que parecía ser <span style="color: #783f04;"><b>más profundo de lo habitual</b></span>. Me
picó la curiosidad y me puse a observarla. Ahora, unos meses después, ya podemos
confirmar que así ha sido. De hecho, desde los primeros datos suyos que tenemos
en AAVSO (1917), <b><span style="color: #783f04;">nunca</span></b> hasta ahora Betelgeuse <b><span style="color: #783f04;">se había podido observar tan
débil</span></b>. El actual mínimo comenzó a mediados de octubre cuando la estrella, que por
aquel entonces tenía una magnitud visual en torno a 0,6, empezó a debilitarse perdiendo
poco más de una magnitud hasta situarse con un brillo próximo a 1,7 a principos
de febrero. Desde entonces se ha estado recuperando hasta la actualidad, donde
ya se encuentra de nuevo en torno a una magnitud cercana a 1,0. En la siguiente figura se muestra el comportamiento
de Betelgeuse durante los últimos casi 8 años y, en detalle, el de los últimos
meses:</span>
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</xml><![endif]--><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 10.0pt; line-height: 107%;">Curva de luz de Betelgeuse
confeccionada a partir de los datos recopilados por la AAVSO (en negro para
observaciones visuales y en rojo para las observaciones hechas en el filtro V).
Arriba: comportamiento desde julio de 2012 hasta hoy, donde destaca la actual
caída de brillo. Abajo: detalle de este último ciclo desde finales de agosto.
En naranja se muestran mis observaciones desde enero.</span></i>
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</xml><![endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 107%; mso-ansi-language: ES; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-no-proof: yes;"> Una vez que ya estamos familiarizados con Betelgeuse y sus cambios de brillo, toca ahora explicarlo: ¿Por qué la estrella cambia de brillo?
¿Qué tiene que ver esto con su final? ¿Cómo será éste? Para no alargarnos más ahora, todo esto lo veremos con más calma en la próxima entrada. </span></span></div>
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Javierhttp://www.blogger.com/profile/10816124329460297624noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-39128397365949907382019-10-10T16:21:00.000+02:002019-10-11T11:41:04.075+02:00La Astronomía premiada con el NobelAnteayer conocíamos el fallo del jurado de la <a href="https://www.kva.se/en/startsida" target="_blank">Academia de Ciencias Sueca</a> que este año ha concedido el <a href="https://s3.eu-de.cloud-object-storage.appdomain.cloud/kva-image-pdf/2020/10/pop_fy_en_19.pdf" target="_blank">Nobel de Física</a> a tres astrónomos <i>por sus contribuciones a nuestro entendimiento de la evolución del Universo y el lugar de la Tierra en el Cosmos</i>
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<img alt="image" class="zoomable lazyimage lazyautosizes lazyloaded" data-sizes="auto" data-src="https://hips.hearstapps.com/hmg-prod.s3.amazonaws.com/images/screen-shot-2019-10-08-at-6-02-17-am-1570529114.png?crop=0.971xw:0.794xh;0.0289xw,0.0223xh&resize=480:*" data-srcset="https://hips.hearstapps.com/hmg-prod.s3.amazonaws.com/images/screen-shot-2019-10-08-at-6-02-17-am-1570529114.png?crop=0.971xw:0.794xh;0.0289xw,0.0223xh&resize=640:* 640w,https://hips.hearstapps.com/hmg-prod.s3.amazonaws.com/images/screen-shot-2019-10-08-at-6-02-17-am-1570529114.png?crop=0.971xw:0.794xh;0.0289xw,0.0223xh&resize=768:* 768w,https://hips.hearstapps.com/hmg-prod.s3.amazonaws.com/images/screen-shot-2019-10-08-at-6-02-17-am-1570529114.png?crop=0.971xw:0.794xh;0.0289xw,0.0223xh&resize=980:* 980w" src="https://hips.hearstapps.com/hmg-prod.s3.amazonaws.com/images/screen-shot-2019-10-08-at-6-02-17-am-1570529114.png?crop=0.971xw:0.794xh;0.0289xw,0.0223xh&resize=480:*" style="touch-action: auto;" title="image" /></div>
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<i><span style="font-size: x-small;"> J. Peebles M. Mayor D. Queloz</span></i></div>
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En realidad, se trata de un premio doble. Por un lado se ha reconocido la labor de los astrónomos suizos <b>Michel Mayor</b> y <b>Didier Queloz</b> (su estudiante de doctorado) pioneros en la búsqueda de <b>exoplanetas</b>. Aunque muchas veces se les ha atribuido el descubrimiento del primer planeta extrasolar, en realidad, se trata del primer planeta orbitando una estrella de tipo solar, ya que años antes se habían descubierto tres, pero orbitando en torno a un púlsar (el <i>"cadáver"</i> de una estrella masiva).
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvy7M5ttcCk0zGjTSbmS_rNeeA90stE9rCsirMZiKpmc5dawqCflo3JSyPaTIMZmdNWpTDY-EaUBqnYnf-6VStAA-DHyuXFGcpm8w00VfzCVXW8GpTdJWLXaNLOgcxGjcz4cpqHOn_qhSM/s1600/ann12010a.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="932" data-original-width="1280" height="291" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhvy7M5ttcCk0zGjTSbmS_rNeeA90stE9rCsirMZiKpmc5dawqCflo3JSyPaTIMZmdNWpTDY-EaUBqnYnf-6VStAA-DHyuXFGcpm8w00VfzCVXW8GpTdJWLXaNLOgcxGjcz4cpqHOn_qhSM/s400/ann12010a.jpg" width="400" /></a></div>
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<i><span style="font-size: x-small;"> D. Queloz (izda) y M. Mayor (dcha) posando frente al telescopio de 3,6 m de La Silla (Chile) </span></i></div>
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<i><span style="font-size: x-small;"> donde está instalado HARPS desde 2003, espectrógrafo de muy alta resolución líder </span></i></div>
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<i><span style="font-size: x-small;">en la caza de exoplanetas, del que son los investigadores principales.</span></i></div>
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En 1995 Mayor y Queloz descubrieron desde el Observatorio de la Alta Provenza (Francia) un planeta de tipo <i>Júpiter caliente</i> (un planeta con la masa parecida a la de Júpiter pero mucho más cerca de su estrella que Mercurio del Sol) en torno a la estrella <i>51 Pegasi</i>, una estrella blanco-amarillenta situada a unos 50 años luz y visible desde cielos oscuros (mag 5,5), cercana al <i>cuadrado</i> de Pegaso. Este descubrimiento, el primero de muchos (<i>en la actualidad se ha confirmado la existencia de más de 4000 exoplanetas</i>), fue fundamental para empezar a establecer el paradigma actual revolucionando nuestra visión del Universo: el Sistema Solar no es algo extraño como se ha pensado toda la vida sino que <i>lo normal es que todas las estrellas tengan planetas</i> que las orbiten. Inmediatamente surge la Pregunta: ¿Es también habitual la vida o algo exclusivo sólo de la Tierra? ...
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Como curiosidad, decir que algunos miembros de Astrodemanda tuvimos la oportunidad de conocer a Mayor, de vinos por Huesca antes de cenar, en el marco del XVIII CEA donde fue uno de los invitados de lujo. En la siguiente foto se muestra un momento de su intervención:
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiowTBqOrFptfq1cT_GjywYwM_umpfZHUa43I4-tqYe9IOsJsipL7UILS274eqHtc3qCsRSIVRIV_OPtO-E7SxkFHR0siCrIXoyO5e0H0AOt6CLoiRK17CDn-U2xQkXyXXYsYgBgwFnfOej/s1600/DSC_0822.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1065" data-original-width="1600" height="265" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiowTBqOrFptfq1cT_GjywYwM_umpfZHUa43I4-tqYe9IOsJsipL7UILS274eqHtc3qCsRSIVRIV_OPtO-E7SxkFHR0siCrIXoyO5e0H0AOt6CLoiRK17CDn-U2xQkXyXXYsYgBgwFnfOej/s400/DSC_0822.JPG" width="400" /></a></div>
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<i><span style="font-size: x-small;"> Michel Mayor, traducido por Mariano Moles (IAA), impartiendo una conferencia</span></i><br />
<i><span style="font-size: x-small;"> magistral durante el XVIII CEA celebrado en Huesca (2008).</span></i></div>
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Por otro lado, se ha premiado también a un histórico como el canadiendse <b>James Peeble</b>, que ha revolucionado la <b>cosmología</b> gracias al marco teórico desarrollado, que ya en los años 60 fue capaz de interpretar correctamente la <a href="https://es.wikipedia.org/wiki/Radiaci%C3%B3n_de_fondo_de_microondas" target="_blank">radiación de fondo de microondas</a> en un Universo en expansión. Más recientemente sus contribuciones al modelo cosmológico estándar (el llamado modelo <a href="https://es.wikipedia.org/wiki/Modelo_Lambda-CDM" target="_blank">Λ-CDM</a>) al retomar la constante cosmológica, llevó al descubrimiento de la <a href="https://es.wikipedia.org/wiki/Energ%C3%ADa_oscura" target="_blank">energía oscura</a>. Hoy sabemos, que <i>todo lo que vemos en el cielo, absolutamente todo, tan sólo constituye el 5% del Universo; el resto es <a href="https://es.wikipedia.org/wiki/Materia_oscura" target="_blank">materia oscura</a> (26%) y energía oscura (69%)</i>. Explicar estos conceptos en detalle está más allá de esta entrada, pero es suficiente para reflexionar y darnos cuenta de que nunca como hasta ahora hemos alcanzado un nivel científico y tecnológico tan alto pero, sin embargo, nunca hemos sido tan conscientes de lo poco que todavía conocemos. <br />
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Gracias a las aportaciones de estos tres científicos hoy entendemos un poco más de dónde venimos y a dónde vamos. GRACIAS.AstroDemandahttp://www.blogger.com/profile/17667083111872323687noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-38205871426538711872019-08-27T07:32:00.000+02:002019-08-27T07:32:29.679+02:00Charla y observación en Quintanilla de las Viñas el 29 de agosto<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvI3HSQQUZHDN6Nb8hUj4N3hyphenhyphen8t5XMaCuspYbWRsLEReMdsu_OwiIXPXaFGu2tp6i1pu8QtTMpIZ1IScE2Y-OIXMqqHwt_ZCknCKfd4QJTKTxFMGQepXBv-Dmz1vEyXtMjR65prM6K8duk/s1600/Cartel+Quintanilla+de+las+Vi%25C3%25B1as.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1132" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgvI3HSQQUZHDN6Nb8hUj4N3hyphenhyphen8t5XMaCuspYbWRsLEReMdsu_OwiIXPXaFGu2tp6i1pu8QtTMpIZ1IScE2Y-OIXMqqHwt_ZCknCKfd4QJTKTxFMGQepXBv-Dmz1vEyXtMjR65prM6K8duk/s400/Cartel+Quintanilla+de+las+Vi%25C3%25B1as.jpg" width="282" /></a></div>
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El próximo jueves 29 de agosto volvemos a organizar junto con Agalsa un evento astronómico, esta vez en Quintanilla de las Viñas.<br />
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Comenzamos a partir de las 21h dando una charla astronómica en la Casa del Concejo y después, a partir de las 22:30 iremos a un lugar cercano pero un poquito apartado para poder disfrutar del cielo de la Sierra de la Demanda.<br />
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Estáis todos invitados para venir tanto a la charla cono a la observación astronómica pública.<br />
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<span style="background-color: white; font-family: "Trebuchet MS", Trebuchet, sans-serif; font-size: 15.84px;">AGALSA es una asociación sin ánimo de lucro que tiene por objeto promover el desarrollo de la Sierra de la Demanda y por ello vamos a colaborar con ellos organizando más charlas y observaciones. Estad atentos a este blog para enteraros de las fechas y lugares donde vayamos a dar a conocer el cielo tan maravilloso que tenemos en nuestra Sierra.</span><br style="background-color: white; font-family: "Trebuchet MS", Trebuchet, sans-serif; font-size: 15.84px;" /><br style="background-color: white; font-family: "Trebuchet MS", Trebuchet, sans-serif; font-size: 15.84px;" /><span style="background-color: white; font-family: "Trebuchet MS", Trebuchet, sans-serif; font-size: 15.84px;">Si queréis enteraros de todas las actividades que realizan, las rutas, eventos y experiencias que tienen preparadas para los visitantes de la Demanda no dejéis de visitar su web en </span><a href="https://sierradelademanda.com/">https://sierradelademanda.com</a><span style="background-color: white; font-family: "Trebuchet MS", Trebuchet, sans-serif; font-size: 15.84px;"> o seguirles en su Twitter </span><a href="https://mobile.twitter.com/sierralademanda" target="_blank">@sierralademanda</a>biohazrhttp://www.blogger.com/profile/13087656399488926935noreply@blogger.com0tag:blogger.com,1999:blog-1855812015197977276.post-1867764566540147522019-08-14T19:48:00.000+02:002019-08-14T19:51:22.897+02:00Charla y observación en Pineda de la Sierra el 20 de Agosto<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYwXch18r2ax8RNJCraaKVeXm6WSiH3sxvKEIAfuzR-FC7Bls5hV0QbXLcWqM85PP55MbtVo0RCrqFDPVpp67yvwVG73AfqAUL0kx0zWSvt1XVVhvQN9pCjvo1_qiF6S2WAodaihNwk8xw/s1600/photo_2019-08-14_19-19-54.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1280" data-original-width="904" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYwXch18r2ax8RNJCraaKVeXm6WSiH3sxvKEIAfuzR-FC7Bls5hV0QbXLcWqM85PP55MbtVo0RCrqFDPVpp67yvwVG73AfqAUL0kx0zWSvt1XVVhvQN9pCjvo1_qiF6S2WAodaihNwk8xw/s640/photo_2019-08-14_19-19-54.jpg" width="451" /></a></div>
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El 20 de agosto vamos a organizar junto a AGALSA una charla y posterior observación astronómica pública en Pineda de la Sierra. Como podéis ver en el bonito cartel de arriba la charla será a partir de las 21:00h en la sede que tiene AGALSA en Pineda, Calle Ondevilla 24.<br />
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A partir de las 22:30 iremos a un lugar cercano al pueblo donde podremos disfrutar del cielo estrellado que nos ofrece la Sierra de la Demanda, y descubrir a través de nuestros telescopios sus secretos y tesoros.<br />
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AGALSA es una asociación sin ánimo de lucro que tiene por objeto promover el desarrollo de la Sierra de la Demanda y por ello vamos a colaborar con ellos organizando más charlas y observaciones. Estad atentos a este blog para enteraros de las fechas y lugares donde vayamos a dar a conocer el cielo tan maravilloso que tenemos en nuestra Sierra.<br />
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Si queréis enteraros de todas las actividades que realizan, las rutas, eventos y experiencias que tienen preparadas para los visitantes de la Demanda no dejéis de visitar su web en <a href="https://sierradelademanda.com/" target="_blank">https://sierradelademanda.com</a> o seguirles en su Twitter <a href="https://twitter.com/sierralademanda" target="_blank">@sierralademanda</a>biohazrhttp://www.blogger.com/profile/13087656399488926935noreply@blogger.com0