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dc.contributor.authorVigueras Campuzano, Antonio 
dc.contributor.authorVera López, Juan Antonio 
dc.date.accessioned2008-10-03T11:39:32Z
dc.date.available2008-10-03T11:39:32Z
dc.date.issued2007-11-15
dc.identifier.citationVERA LÓPEZ, Juan Antonio, VIGUERAS CAMPUZANO, Antonio. Planar rotations for gyrostat in the three-body problem. En: Jornadas de trabajo en Mecánica Celeste( 9.2006.Jaca ). Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 2007. pp.67-78. ISBN 1132-6360es
dc.identifier.isbn1132-6360
dc.description.abstractWe consider the non-canonical Hamiltonian dynamics of a gyrostat in the three body problem. By means of geometric-mechanics methods we study the approximate Poisson dynamics that arises when we develop the potential in series of Legendre and truncate this in an arbitrary order k. Working in the reduced problem,the existence and number of equilibria, that we denominate planar rotation type in analogy with classic results on the topic, is considered. Necessary and sufficient conditions for their existence in a approximate dynamics of order k is obtained and we give explicit expressions of this equilibria, useful for the later study of the stability of the same ones. A complete study of the planar rotation type equilibria is made in approximate dynamics or order zero and one.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.publisherReal Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragozaes
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titlePlanar rotations for a gyrostat in the three-body problemes
dc.typeinfo:eu-repo/semantics/bookPartes
dc.subjectEquilibrio relativoes
dc.subjectProblemas de tres cuerposes
dc.subjectPlano de rotaciónes
dc.subjectRelative balance
dc.subjectGyrostat
dc.subjectThree body problems
dc.subjectRotation plan
dc.subjectGiróstato
dc.subject.otherMatemática Aplicadaes
dc.identifier.urihttp://hdl.handle.net/10317/456
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess


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