On central configurations of the kn-body problem

We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any...

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Detalhes bibliográficos
Autores: Barrabés Vera, Esther, Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Formato: artículo
Fecha de publicación:2019
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/132982
Acesso em linha:https://hdl.handle.net/2117/132982
https://dx.doi.org/10.1016/j.jmaa.2019.04.010
Access Level:acceso abierto
Palavra-chave:Celestial mechanics
Many-body problem
N-body problem
Planar central configurations
Twisted central configurations
Mecànica celest
Problema dels cossos múltiples
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling On central configurations of the kn-body problemBarrabés Vera, EstherCors Iglesias, Josep Maria|||0000-0002-9803-8490Celestial mechanicsMany-body problemCelestial mechanicsN-body problemPlanar central configurationsTwisted central configurationsMecànica celestProblema dels cossos múltiplesClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanicsÀrees temàtiques de la UPC::Matemàtiques i estadísticaWe consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any value of the mass ratio. Moreover, for n = 3,4 and any value of the mass ratio, we give the exact number of twisted (2, n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2, n)-crowns for n = 5.Peer Reviewed20192019-08-1520192019-05-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/132982https://dx.doi.org/10.1016/j.jmaa.2019.04.010reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1329822026-05-27T15:37:01Z
dc.title.none.fl_str_mv On central configurations of the kn-body problem
title On central configurations of the kn-body problem
spellingShingle On central configurations of the kn-body problem
Barrabés Vera, Esther
Celestial mechanics
Many-body problem
Celestial mechanics
N-body problem
Planar central configurations
Twisted central configurations
Mecànica celest
Problema dels cossos múltiples
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short On central configurations of the kn-body problem
title_full On central configurations of the kn-body problem
title_fullStr On central configurations of the kn-body problem
title_full_unstemmed On central configurations of the kn-body problem
title_sort On central configurations of the kn-body problem
dc.creator.none.fl_str_mv Barrabés Vera, Esther
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author Barrabés Vera, Esther
author_facet Barrabés Vera, Esther
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author_role author
author2 Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author2_role author
dc.subject.none.fl_str_mv Celestial mechanics
Many-body problem
Celestial mechanics
N-body problem
Planar central configurations
Twisted central configurations
Mecànica celest
Problema dels cossos múltiples
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Celestial mechanics
Many-body problem
Celestial mechanics
N-body problem
Planar central configurations
Twisted central configurations
Mecànica celest
Problema dels cossos múltiples
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Matemàtiques i estadística
description We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any value of the mass ratio. Moreover, for n = 3,4 and any value of the mass ratio, we give the exact number of twisted (2, n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2, n)-crowns for n = 5.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-08-15
2019
2019-05-15
dc.type.none.fl_str_mv journal 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://hdl.handle.net/2117/132982
https://dx.doi.org/10.1016/j.jmaa.2019.04.010
url https://hdl.handle.net/2117/132982
https://dx.doi.org/10.1016/j.jmaa.2019.04.010
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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