The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem

We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the...

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Autores: Llibre, Jaume|||0000-0002-9511-5999, Paşca, Daniel, Valls, Clàudia|||0000-0001-8279-1229
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:267144
Acceso en línea:https://ddd.uab.cat/record/267144
https://dx.doi.org/urn:doi:10.1007/s10569-021-10052-6
Access Level:acceso abierto
Palabra clave:Circular restricted 4-body problem
Collinear central configuration
Periodic orbit
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spelling The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problemLlibre, Jaume|||0000-0002-9511-5999Paşca, DanielValls, Clàudia|||0000-0001-8279-1229Circular restricted 4-body problemCollinear central configurationPeriodic orbitWe study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/267144https://dx.doi.org/urn:doi:10.1007/s10569-021-10052-6reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2671442026-06-06T12:50:31Z
dc.title.none.fl_str_mv The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
title The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
spellingShingle The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
Llibre, Jaume|||0000-0002-9511-5999
Circular restricted 4-body problem
Collinear central configuration
Periodic orbit
title_short The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
title_full The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
title_fullStr The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
title_full_unstemmed The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
title_sort The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Paşca, Daniel
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Paşca, Daniel
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Paşca, Daniel
Valls, Clàudia|||0000-0001-8279-1229
author2_role author
author
dc.subject.none.fl_str_mv Circular restricted 4-body problem
Collinear central configuration
Periodic orbit
topic Circular restricted 4-body problem
Collinear central configuration
Periodic orbit
description We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/267144
https://dx.doi.org/urn:doi:10.1007/s10569-021-10052-6
url https://ddd.uab.cat/record/267144
https://dx.doi.org/urn:doi:10.1007/s10569-021-10052-6
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1617
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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