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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.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.descriptionThe final publication is available at Springer via
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.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.subject.lemacMecànica celest
dc.subject.lemacProblema dels cossos múltiples
dc.subject.lemacAnells planetaris
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.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorBarrabés, E., Cors, J., Hall, G.
upcommons.citation.publicationNameQualitative theory of dynamical systems

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