Numerical Exploration of the Limit Ring Problem
dc.contributor.author
dc.date.accessioned
2016-09-14T07:05:35Z
dc.date.available
2016-09-14T07:05:35Z
dc.date.issued
2013-04-15
dc.identifier.issn
1575-5460
dc.identifier.uri
dc.description.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)
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Springer Verlag
dc.relation.isformatof
Versió preprint del document publicat a: http://dx.doi.org/10.1007/s12346-012-0082-0
dc.relation.ispartof
© Qualitative Theory of Dynamical Systems, 2013, vol. 12, núm. 1, p. 25-52
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.title
Numerical Exploration of the Limit Ring Problem
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
017604
dc.identifier.eissn
1662-3592