Spatial collinear restricted four-body problem with repulsive Manev potential

We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, is applied to the central mass. We investigate the relative equil...

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Detalhes bibliográficos
Autores: Barrabés Vera, Esther, Cors Iglesias, Josep Maria, Vidal, Claudio
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/14759
Acesso em linha:http://hdl.handle.net/10256/14759
Access Level:acceso abierto
Palavra-chave:Bifurcació, Teoria de la
Bifurcation theory
Estabilitat
Stability
Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Sistemes dinàmics diferenciables
Differentiable dynamical systems
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oai_identifier_str oai:recercat.cat:10256/14759
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repository_id_str
spelling Spatial collinear restricted four-body problem with repulsive Manev potentialBarrabés Vera, EstherCors Iglesias, Josep MariaVidal, ClaudioBifurcació, Teoria de laBifurcation theoryEstabilitatStabilityMecànica celestCelestial mechanicsDinàmica estel·larStellar dynamicsSistemes dinàmics diferenciablesDifferentiable dynamical systemsWe outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter β, the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal massSpringerinfo2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion24 p.application/pdfhttp://hdl.handle.net/10256/14759© Celestial Mechanics & Dynamical Astronomy, 2017, vol. 129 , núm. 1-2, p. 153-176Articles publicats (D-IMAE)Barrabés Vera, Esther Cors i Iglesias, Josep M. Vidal, Claudio 2017 Spatial collinear restricted four-body problem with repulsive Manev potential Celestial Mechanics & Dynamical Astronomy 129 1-2 153 176reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-017-9771-yinfo:eu-repo/semantics/altIdentifier/issn/0923-2958info:eu-repo/semantics/altIdentifier/eissn/1572-9478Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/147592026-05-29T05:05:01Z
dc.title.none.fl_str_mv Spatial collinear restricted four-body problem with repulsive Manev potential
title Spatial collinear restricted four-body problem with repulsive Manev potential
spellingShingle Spatial collinear restricted four-body problem with repulsive Manev potential
Barrabés Vera, Esther
Bifurcació, Teoria de la
Bifurcation theory
Estabilitat
Stability
Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Sistemes dinàmics diferenciables
Differentiable dynamical systems
title_short Spatial collinear restricted four-body problem with repulsive Manev potential
title_full Spatial collinear restricted four-body problem with repulsive Manev potential
title_fullStr Spatial collinear restricted four-body problem with repulsive Manev potential
title_full_unstemmed Spatial collinear restricted four-body problem with repulsive Manev potential
title_sort Spatial collinear restricted four-body problem with repulsive Manev potential
dc.creator.none.fl_str_mv Barrabés Vera, Esther
Cors Iglesias, Josep Maria
Vidal, Claudio
author Barrabés Vera, Esther
author_facet Barrabés Vera, Esther
Cors Iglesias, Josep Maria
Vidal, Claudio
author_role author
author2 Cors Iglesias, Josep Maria
Vidal, Claudio
author2_role author
author
dc.subject.none.fl_str_mv Bifurcació, Teoria de la
Bifurcation theory
Estabilitat
Stability
Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Sistemes dinàmics diferenciables
Differentiable dynamical systems
topic Bifurcació, Teoria de la
Bifurcation theory
Estabilitat
Stability
Mecànica celest
Celestial mechanics
Dinàmica estel·lar
Stellar dynamics
Sistemes dinàmics diferenciables
Differentiable dynamical systems
description We outline some aspects of the dynamics of an infinitesimalmass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential (−1/r + e/r 2), e > 0, is applied to the central mass. We investigate the relative equilibria of the infinitesimal mass and their linear stability as a function of the mass parameter β, the ratio of mass of the central body to the mass of one of two remaining bodies, and e. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass
publishDate 2017
dc.date.none.fl_str_mv 2017
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/14759
url http://hdl.handle.net/10256/14759
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-017-9771-y
info:eu-repo/semantics/altIdentifier/issn/0923-2958
info:eu-repo/semantics/altIdentifier/eissn/1572-9478
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 24 p.
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv © Celestial Mechanics & Dynamical Astronomy, 2017, vol. 129 , núm. 1-2, p. 153-176
Articles publicats (D-IMAE)
Barrabés Vera, Esther Cors i Iglesias, Josep M. Vidal, Claudio 2017 Spatial collinear restricted four-body problem with repulsive Manev potential Celestial Mechanics & Dynamical Astronomy 129 1-2 153 176
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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