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Numerical Exploration of the Limit Ring Problem

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 Poincaré 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 Barrabés by (SIAM J Appl Dyn Syst 9:634-658, 2010)

© Qualitative Theory of Dynamical Systems, 2013, vol. 12, núm. 1, p. 25-52

Springer Verlag

Author: Barrabés Vera, Esther
Cors i Iglesias, Josep M.
Hall, G.R.
Date: 2013 April 15
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 Poincaré 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 Barrabés by (SIAM J Appl Dyn Syst 9:634-658, 2010)
Format: application/pdf
ISSN: 1575-5460 (versió paper)
1662-3592 (versió electrònica)
Document access: http://hdl.handle.net/10256/12692
Language: eng
Publisher: Springer Verlag
Collection: Versió preprint del document publicat a: http://dx.doi.org/10.1007/s12346-012-0082-0
Articles publicats (D-IMA)
Is part of: © Qualitative Theory of Dynamical Systems, 2013, vol. 12, núm. 1, p. 25-52
Rights: Tots els drets reservats
Subject: Mecànica celest
Celestial mechanics
Anells planetaris
Planetary rings
Title: Numerical Exploration of the Limit Ring Problem
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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