Central configurations in the five-body problem: rhombus plus one

We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus a...

Descripción completa

Detalles Bibliográficos
Autores: Lino Cornelio, J., Alvarez Ramírez, Martha, Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Tipo de recurso: artículo
Fecha de publicación:2021
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:2117/352053
Acceso en línea:https://hdl.handle.net/2117/352053
https://dx.doi.org/10.1007/s12346-021-00486-6
Access Level:acceso abierto
Palabra clave:Many-body problem
Celestial mechanics
Five-body problem
Central configuration
Rhombus configuration
Square configuration
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
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
Àrees temàtiques de la UPC::Enginyeria mecànica
id ES_621c1bdfd9ff076dca786627bcceeae8
oai_identifier_str oai:upcommons.upc.edu:2117/352053
network_acronym_str ES
network_name_str España
repository_id_str
spelling Central configurations in the five-body problem: rhombus plus oneLino Cornelio, J.Alvarez Ramírez, MarthaCors Iglesias, Josep Maria|||0000-0002-9803-8490Many-body problemCelestial mechanicsFive-body problemCentral configurationRhombus configurationSquare configurationProblema dels cossos múltiplesMecànica celestClassificació AMS::37 Dynamical systems and ergodic theory::37N ApplicationsClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanicsÀrees temàtiques de la UPC::Matemàtiques i estadísticaÀrees temàtiques de la UPC::Enginyeria mecànicaWe show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus and when the two diagonals are either equal or nearly equal. In addition, we prove that given a rhombus plus one configuration, the corresponding vector of positive masses that makes the configuration central, if exists, is unique.M. Alvarez-Ramírez is partially supported by Programa Especial de Apoyo a la Investigación (UAM)grant number I5-2019. Josep M. Cors has been supported by grant PID2019-104658GB-I00, and Catalan(AGAUR) grant SGR 1617Peer Reviewed20212021-05-2020212021-09-22journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/352053https://dx.doi.org/10.1007/s12346-021-00486-6reponame: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:2117/3520532026-05-27T15:37:01Z
dc.title.none.fl_str_mv Central configurations in the five-body problem: rhombus plus one
title Central configurations in the five-body problem: rhombus plus one
spellingShingle Central configurations in the five-body problem: rhombus plus one
Lino Cornelio, J.
Many-body problem
Celestial mechanics
Five-body problem
Central configuration
Rhombus configuration
Square configuration
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
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
Àrees temàtiques de la UPC::Enginyeria mecànica
title_short Central configurations in the five-body problem: rhombus plus one
title_full Central configurations in the five-body problem: rhombus plus one
title_fullStr Central configurations in the five-body problem: rhombus plus one
title_full_unstemmed Central configurations in the five-body problem: rhombus plus one
title_sort Central configurations in the five-body problem: rhombus plus one
dc.creator.none.fl_str_mv Lino Cornelio, J.
Alvarez Ramírez, Martha
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author Lino Cornelio, J.
author_facet Lino Cornelio, J.
Alvarez Ramírez, Martha
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author_role author
author2 Alvarez Ramírez, Martha
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
author2_role author
author
dc.subject.none.fl_str_mv Many-body problem
Celestial mechanics
Five-body problem
Central configuration
Rhombus configuration
Square configuration
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
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
Àrees temàtiques de la UPC::Enginyeria mecànica
topic Many-body problem
Celestial mechanics
Five-body problem
Central configuration
Rhombus configuration
Square configuration
Problema dels cossos múltiples
Mecànica celest
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
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
Àrees temàtiques de la UPC::Enginyeria mecànica
description We show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically their existence when one diagonal is nearly equal to the sides of the rhombus and when the two diagonals are either equal or nearly equal. In addition, we prove that given a rhombus plus one configuration, the corresponding vector of positive masses that makes the configuration central, if exists, is unique.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-05-20
2021
2021-09-22
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/2117/352053
https://dx.doi.org/10.1007/s12346-021-00486-6
url https://hdl.handle.net/2117/352053
https://dx.doi.org/10.1007/s12346-021-00486-6
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
_version_ 1869409470928388096
score 15,300724

Similares en LA Referencia