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dc.contributor.authorVera López, Juan Antonio 
dc.date.accessioned2008-10-03T11:31:39Z
dc.date.available2008-10-03T11:31:39Z
dc.date.issued2004-10-01
dc.identifier.citationVERA LÓPEZ, Juan Antonio, VIGUERAS CAMPUZANO, Antonio. Reduction, relative equilibria and stability for a gyrostat in the N-Body problem . En:Monografías del Seminario Matemático García de Galdeano. ed. Zaragoza: Prensas Universitarias de Zaragoza, 2003. pp.257-271. ISBN 84-7733-720-9es
dc.identifier.isbn84-7733-720-9
dc.description.abstractWe consider the non-canonical Hamiltonian dynamics of a gyrostat in the nbody problem. Using the symmetries of the system we carry out a reduction process in two steps, giving explicitly at each step the Poisson structure of the reduced system. Next,we obtain general properties of the relative equilibria of the problem and if we restrict to different approximations of the gravitational potential function, some particular cases are studied and, by means of energy-Casimir and spectral methods, sufficient and necessary conditions of stability can be obtained. We extend some results by Fanny and Badaoui (1998) and by Mondéjar, Vigueras and Ferrer (2001). In the case of a rigid body in the three-body problem, in terms of the global variables in the unreduced problem, was considered, and in the case of a gyrostat in the three-body problem was studied, but working now in the reduced system; in this way natural simplifications in the conditions of the equilibria appear. As a particular case, the problem of three bodies is considered for an arbitrary approximation of the potential function and the conditions for existence of Eulerian and Lagrangian equilibria are given in different cases. Here, we use geometric methods, developed in part by Marsden, and others.es
dc.description.sponsorshipThis research was partially supported by the Spanish Ministerio de Ciencia y Tecnología (Project BFM2003-02137) and by the Consejería de Educación y Cultura de la Comunidad Autónoma de la Región de Murcia (Project Séneca 2002: PC-MC/3/00074/FS/02).es
dc.formatapplication/pdf
dc.language.isoenges
dc.publisherPrensas Universitarias de Zaragozaes
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleReduction, relative equilibria and stability for a gyrostat in the N-Body problemes
dc.typeinfo:eu-repo/semantics/bookPartes
dc.subjectSistema Lie-Poissones
dc.subjectReducciónes
dc.subjectEquilibrio relativoes
dc.subjectProblemas en n-cuerposes
dc.subjectLie-Poisson System
dc.subjectReduction
dc.subjectRelative balance
dc.subjectN-body problems
dc.subjectGyrostat
dc.subjectGiróstato
dc.subject.otherMatemática Aplicadaes
dc.identifier.urihttp://hdl.handle.net/10317/454
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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