{"id":59766,"date":"2007-09-07T00:00:00","date_gmt":"2007-09-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/on-the-meromorphic-non-integrability-of-some-problems-in-celestial-mechanics\/"},"modified":"2007-09-07T00:00:00","modified_gmt":"2007-09-07T00:00:00","slug":"on-the-meromorphic-non-integrability-of-some-problems-in-celestial-mechanics","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/barcelona\/on-the-meromorphic-non-integrability-of-some-problems-in-celestial-mechanics\/","title":{"rendered":"On the meromorphic non-integrability of some problems in celestial mechanics"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Sim\u00f3n I Estrada Sergi <\/strong><\/h2>\n<p>La presente tesis doctoral consta de un conjunto de aplicaciones de la teor\u00eda de galois diferencial, y m\u00e1s concretamente de la teor\u00eda de morales-ramis, a la detecci\u00f3n de obstrucciones a la integrabilidad meromorfa, parcial y total de sistemas hamiltonianos en el sentido de liouville-arnold:     * hamiltonianos cl\u00e1sicos de potencial homog\u00e9neo: un primer resultado nuevo es una condici\u00f3n necesaria para la existencia de una integral primera adicional, y por tanto para la integrabilidad parcial (y, naturalmente, total) de sistemas hamiltonianos de este tipo.     * usando la condici\u00f3n necesaria mencionada en el punto anterior, un siguiente resultado novedosos es la demostraci\u00f3n de la ausencia de una integral adicional para.     &#8211; el problema de tres cuerpos, lo cual generaliza de paso el teorema de bruns as\u00ed como resultados m\u00e1s recientes de e. Julliard (2000) y a.Tsygvintsev (2000), siendo este \u00faltimo el trabajo m\u00e1s cercano, en cuanto a hip\u00f3tesis y t\u00e9cnicas utilizadas, al presente resultado. Cabe destacar que la no-integrabilidad, total y parcial, que de nuestro resultados se deriva es una reformulaci\u00f3n de trabajos ya existentes de d.Boucher y j.A. Weil (2002), y a.Tsygvinssev (2000).     &#8211; el problema de n cuerpos con masas iguales para n=4,5,6.     * demostraci\u00f3n de la no-integrabilidad meromorfa del problema de n cuerpos con masas iguales y n menor 4 arbitraria.     * demostraci\u00f3n de la no-integrabilidad meromorfa del problema lunar de hill.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>On the meromorphic non-integrability of some problems in celestial mechanics<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 On the meromorphic non-integrability of some problems in celestial mechanics <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Sim\u00f3n I Estrada Sergi <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Barcelona<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 09\/07\/2007<\/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>ruiz Juan Morales<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jean-pierre Ramis <\/li>\n<li>amadeu Delshams vald\u00e9s (vocal)<\/li>\n<li>andzej Jerzy maciejewski (vocal)<\/li>\n<li>teresa Crespo vicente (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sim\u00f3n I Estrada Sergi La presente tesis doctoral consta de un conjunto de aplicaciones de la teor\u00eda [&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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