On the central configurations of the planar (1 3)-body problem

We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals...

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Autores: Corbera Subirana, Montserrat|||0000-0002-0367-9667, Cors Iglesias, Josep Maria|||0000-0002-9803-8490, Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150425
Acceso en línea:https://ddd.uab.cat/record/150425
https://dx.doi.org/urn:doi:10.1007/s10569-010-9316-0
Access Level:acceso abierto
Palabra clave:1 + 3 body problem
Central configurations
Coorbital satellites
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spelling On the central configurations of the planar (1 3)-body problemCorbera Subirana, Montserrat|||0000-0002-0367-9667Cors Iglesias, Josep Maria|||0000-0002-9803-8490Llibre, Jaume|||0000-0002-9511-59991 + 3 body problemCentral configurationsCoorbital satellitesWe consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, the number of central configurations varies from five to seven. 22011-01-0120112011-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150425https://dx.doi.org/urn:doi:10.1007/s10569-010-9316-0reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open 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:1504252026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the central configurations of the planar (1 3)-body problem
title On the central configurations of the planar (1 3)-body problem
spellingShingle On the central configurations of the planar (1 3)-body problem
Corbera Subirana, Montserrat|||0000-0002-0367-9667
1 + 3 body problem
Central configurations
Coorbital satellites
title_short On the central configurations of the planar (1 3)-body problem
title_full On the central configurations of the planar (1 3)-body problem
title_fullStr On the central configurations of the planar (1 3)-body problem
title_full_unstemmed On the central configurations of the planar (1 3)-body problem
title_sort On the central configurations of the planar (1 3)-body problem
dc.creator.none.fl_str_mv Corbera Subirana, Montserrat|||0000-0002-0367-9667
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Llibre, Jaume|||0000-0002-9511-5999
author Corbera Subirana, Montserrat|||0000-0002-0367-9667
author_facet Corbera Subirana, Montserrat|||0000-0002-0367-9667
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Llibre, Jaume|||0000-0002-9511-5999
author_role author
author2 Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Llibre, Jaume|||0000-0002-9511-5999
author2_role author
author
dc.subject.none.fl_str_mv 1 + 3 body problem
Central configurations
Coorbital satellites
topic 1 + 3 body problem
Central configurations
Coorbital satellites
description We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, the number of central configurations varies from five to seven.
publishDate 2011
dc.date.none.fl_str_mv 2
2011-01-01
2011
2011-01-01
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/150425
https://dx.doi.org/urn:doi:10.1007/s10569-010-9316-0
url https://ddd.uab.cat/record/150425
https://dx.doi.org/urn:doi:10.1007/s10569-010-9316-0
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
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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