{"id":80787,"date":"2018-03-10T00:04:36","date_gmt":"2018-03-10T00:04:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/movimientos-periodicos-y-casi-periodicos-del-problema-isosceles-espacial-de-tres-cuerpos\/"},"modified":"2018-03-10T00:04:36","modified_gmt":"2018-03-10T00:04:36","slug":"movimientos-periodicos-y-casi-periodicos-del-problema-isosceles-espacial-de-tres-cuerpos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/movimientos-periodicos-y-casi-periodicos-del-problema-isosceles-espacial-de-tres-cuerpos\/","title":{"rendered":"Movimientos periodicos y casi-periodicos del problema isosceles espacial de tres cuerpos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Montserrat Corbera Subirana <\/strong><\/h2>\n<p>En esta memoria se estudian orbitas periodicas y casi-periodicas de un caso particular del problema de tres cuerpos en el espacio, el problema isosceles espacial de tres cuerpos. Este problema consiste en describir el movimiento, seg\u00fan la ley de gravitacion universal de newton, de tres masas puntuales m1=m2 y m3=u tales que m1 y m2 tienen posiciones iniciales y velocidades simetricas respecto a una recta que pasa por su centro de masas y m3 tiene posicion inicial y velocidad sobre esta recta. Debido a la simetria del problema estas tres masas forman un triangulo isosceles(eventualmente degenerado a un segmento) para todo tiempo, de aqu\u00ed proviene el nombre de problema isosceles.  empezamos reduciendo la dimensi\u00f3n del espacio de fases del problema isosceles, con la ayuda de coordenadas apropiadas, obteniendo lo que llamamos problema isosceles reducido. Vemos que las orbitas periodicas del problema isosceles reducido dan lugar a toros invariantes de dimensi\u00f3n dos dentro de problema isosceles. Estos toros pueden estar formados por union de orbitas periodicas u orbitas casi-periodicas y viven en la variedad de momento angular fijado c para c=0. Utilizando el metodo de continuacion analitica de poincare prolongamos las orbitas periodicas conocidas del problema de sitnikov circular reducido(un caso particular del problema isosceles restringido reducido, es decir, el problema isosceles reducido cuando u=0) a orbitas periodicas simetricas del problema isosceles reducido para u&gt;0 suficientemente peque\u00f1a. finalmente analizamos los toros invariantes de dimensi\u00f3n dos del problema isosceles que provienen de las orbitas periodicas que hemos encontrado.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Movimientos periodicos y casi-periodicos del problema isosceles espacial de tres cuerpos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Movimientos periodicos y casi-periodicos del problema isosceles espacial de tres cuerpos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Montserrat Corbera Subirana <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/09\/1999<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jaume Llibre Salo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: gerard Gomez muntaner <\/li>\n<li>Antonio Elipe sanchez (vocal)<\/li>\n<li>Jos\u00e9 Martinez alfaro (vocal)<\/li>\n<li>merce Olle torner (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Montserrat Corbera Subirana En esta memoria se estudian orbitas periodicas y casi-periodicas de un caso particular del [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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