A note on the Dziobek central configurations

For the Newtonian n-body problem in R^n-2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a reg...

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Detalles Bibliográficos
Autor: Llibre, Jaume|||0000-0002-9511-5999
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:145368
Acceso en línea:https://ddd.uab.cat/record/145368
https://dx.doi.org/urn:doi:10.1090/S0002-9939-2015-12502-6
Access Level:acceso abierto
Palabra clave:Central configuration
N-body problem
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spelling A note on the Dziobek central configurationsLlibre, Jaume|||0000-0002-9511-5999Central configurationN-body problemFor the Newtonian n-body problem in R^n-2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a regular (n-2)-simplex together with an arbitrary mass located at its barycenter. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/145368https://dx.doi.org/urn:doi:10.1090/S0002-9939-2015-12502-6reponame: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:1453682026-06-06T12:50:31Z
dc.title.none.fl_str_mv A note on the Dziobek central configurations
title A note on the Dziobek central configurations
spellingShingle A note on the Dziobek central configurations
Llibre, Jaume|||0000-0002-9511-5999
Central configuration
N-body problem
title_short A note on the Dziobek central configurations
title_full A note on the Dziobek central configurations
title_fullStr A note on the Dziobek central configurations
title_full_unstemmed A note on the Dziobek central configurations
title_sort A note on the Dziobek central configurations
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
author_role author
dc.subject.none.fl_str_mv Central configuration
N-body problem
topic Central configuration
N-body problem
description For the Newtonian n-body problem in R^n-2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a regular (n-2)-simplex together with an arbitrary mass located at its barycenter.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
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
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/145368
https://dx.doi.org/urn:doi:10.1090/S0002-9939-2015-12502-6
url https://ddd.uab.cat/record/145368
https://dx.doi.org/urn:doi:10.1090/S0002-9939-2015-12502-6
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
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eu_rights_str_mv openAccess
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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
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