Numerical exploration of the limit ring problem
Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica i Matemàtica Aplicada)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
Hall, Glen Richard (Boston University. Department of Mathematics and Statistics)

Date:	2013
Abstract:	The aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1+n body problem, where an infinitesimal particle moves under the gravitational influence of a large central body and n smaller bodies located on the vertices of a regular n-gon. When considering n tending to infinity, a model depending on one parameter is obtained. We study the main important structures of the problem depending on this parameter (equilibria, Hill's regions, linear stability,. . . ). We use Poincar'e maps, for different values of the parameter, in order to predict the width of the ring and the richness of the dynamics that occur is discussed. This work is a continuation of the work presented in [1].
Grants:	Ministerio de Economía y Competitividad MTM2010-16425 Ministerio de Economía y Competitividad MTM2008-V03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Celestial Mechanics ; N body problem ; Planetary rings
Published in:	Qualitative theory of dynamical systems, Vol. 12 Núm. 1 (2013) , p. 25-52, ISSN 1662-3592

DOI: 10.1007/s12346-012-0082-0

Postprint 28 p, 13.8 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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