On strictly convex central configurations of the 2n-body problem

We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted regular n-gons are strictly convex.

Detalles Bibliográficos
Autores: Barrabés Vera, Esther, Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/122445
Acceso en línea:https://hdl.handle.net/2117/122445
https://dx.doi.org/10.1007/s10884-018-9708-5
Access Level:acceso abierto
Palabra clave:Many-body problem
Central configuration
Convex central configuration
n-Body problem
Twisted central configuration
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 strictly convex central configurations of the 2n-body problemBarrabés Vera, EstherCors Iglesias, Josep Maria|||0000-0002-9803-8490Many-body problemCentral configurationConvex central configurationn-Body problemTwisted central configurationProblema 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 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted regular n-gons are strictly convex.Peer Reviewed20192019-12-0120182018-10-17journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/122445https://dx.doi.org/10.1007/s10884-018-9708-5reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1224452026-05-27T15:37:01Z
dc.title.none.fl_str_mv On strictly convex central configurations of the 2n-body problem
title On strictly convex central configurations of the 2n-body problem
spellingShingle On strictly convex central configurations of the 2n-body problem
Barrabés Vera, Esther
Many-body problem
Central configuration
Convex central configuration
n-Body problem
Twisted central configuration
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 strictly convex central configurations of the 2n-body problem
title_full On strictly convex central configurations of the 2n-body problem
title_fullStr On strictly convex central configurations of the 2n-body problem
title_full_unstemmed On strictly convex central configurations of the 2n-body problem
title_sort On strictly convex central configurations of the 2n-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 Many-body problem
Central configuration
Convex central configuration
n-Body problem
Twisted central configuration
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 Many-body problem
Central configuration
Convex central configuration
n-Body problem
Twisted central configuration
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 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted regular n-gons are strictly convex.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-10-17
2019
2019-12-01
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/2117/122445
https://dx.doi.org/10.1007/s10884-018-9708-5
url https://hdl.handle.net/2117/122445
https://dx.doi.org/10.1007/s10884-018-9708-5
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
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
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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score 15,300724

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