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dc.contributor.authorBarrabés Vera, Esther
dc.contributor.authorCors Iglesias, Josep Maria
dc.contributor.authorHall, G.R.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-06-15T14:42:33Z
dc.date.available2017-06-15T14:42:33Z
dc.date.issued2013-04
dc.identifier.citationBarrabés, E., Cors, J., Hall, G. Numerical exploration of the limit ring problem. "Qualitative theory of dynamical systems", Abril 2013, vol. 12, núm. 1, p. 25-52.
dc.identifier.issn1575-5460
dc.identifier.urihttp://hdl.handle.net/2117/105460
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s12346-012-0082-0
dc.description.abstractThe 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.extent28 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshCelestial mechanics
dc.subject.lcshMany-body problem
dc.subject.lcshPlanetary rings
dc.subject.otherCelestial Mechanics
dc.subject.otherN body problem
dc.subject.otherPlanetary rings
dc.titleNumerical exploration of the limit ring problem
dc.typeArticle
dc.subject.lemacMecànica celest
dc.subject.lemacProblema dels cossos múltiples
dc.subject.lemacAnells planetaris
dc.identifier.doi10.1007/s12346-012-0082-0
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics
dc.relation.publisherversionhttp://link.springer.com/article/10.1007%2Fs12346-012-0082-0
dc.rights.accessOpen Access
drac.iddocument12916508
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorBarrabés, E., Cors, J., Hall, G.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameQualitative theory of dynamical systems
upcommons.citation.volume12
upcommons.citation.number1
upcommons.citation.startingPage25
upcommons.citation.endingPage52


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