{"id":39096,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/no-integrabilidad-del-problema-del-satelite\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"no-integrabilidad-del-problema-del-satelite","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/no-integrabilidad-del-problema-del-satelite\/","title":{"rendered":"No integrabilidad del problema del satelite."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mar\u00eda Isabel Vigo Aguiar <\/strong><\/h2>\n<p>Esta tesis estudia la no integrabilidad del problema del satelite. Se comienza estableciendo la no integrabilidad del problema del satelite zonal, truncado en un orden arbitrario y como consecuencia se obtiene la no existencia de integrales primeras meromorfas para las truncaciones del problema asimetrico de dos centros fijos. Se extienden las formulaciones de ziglin y yoshida, deduciendo nuevas condiciones suficientes de no integrabilidad, numerosos ejemplos de aplicacion a casos particulares del problema del satelite ilustran la conveniencia del uso de esos nuevos instrumentos, se destaca la prueba de no integrabilidad de cualquier truncaci\u00f3n del problema del satelite de un cuerpo finito.  la exploraci\u00f3n num\u00e9rica del problema del j22, pone de manifiesto la relaci\u00f3n entre caos y no integrabilidad. finalmente, con el fin de reducir el conjunto de casos integrables cuando se trata con hamiltonianos dependientes de parametros, se deduce una nueva condicion necesaria de integrabilidad que es aplicada con exito a algunos problemas bien conocidos, como son: henon-heiles, yang-mills, spring-pendulum.#<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>No integrabilidad del problema del satelite.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 No integrabilidad del problema del satelite. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mar\u00eda Isabel Vigo Aguiar <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Alicante<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/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>Jos\u00e9 Manuel Ferrandiz Leal<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Vigueras campuzano <\/li>\n<li>esteven Chesley (vocal)<\/li>\n<li>benjamin Fong chao (vocal)<\/li>\n<li>simos Ichtiaroglou (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mar\u00eda Isabel Vigo Aguiar Esta tesis estudia la no integrabilidad del problema del satelite. Se comienza estableciendo [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[19166,3183,12585,126],"tags":[25157,100998,100997,16121,100996,100999],"class_list":["post-39096","post","type-post","status-publish","format-standard","hentry","category-alicante","category-analisis-y-analisis-funcional","category-ecuaciones-diferenciales-ordinarias","category-matematicas","tag-antonio-vigueras-campuzano","tag-benjamin-fong-chao","tag-esteven-chesley","tag-jose-manuel-ferrandiz-leal","tag-maria-isabel-vigo-aguiar","tag-simos-ichtiaroglou"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/39096","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=39096"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/39096\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=39096"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=39096"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=39096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}