Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential

We study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential (-1/r + e/r2), e ¿ 0, where is a parameter related to the oblaticity or radiation source (according to...

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Detalles Bibliográficos
Autores: Ascencio, Mauricio, Barrabés Vera, Esther, Cors Iglesias, Josep Maria|||0000-0002-9803-8490, Vidal, Claudio
Tipo de recurso: artículo
Fecha de publicación:2023
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:2117/398428
Acceso en línea:https://hdl.handle.net/2117/398428
https://dx.doi.org/10.1137/23M1551912
Access Level:acceso abierto
Palabra clave:Many-body problem
Planetary rings
Celestial mechanics
Restricted N + 1-body problem
Manev potential
Equilibrium points
Stability
Problema dels cossos múltiples
Anells planetaris
Mecànica celest
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 Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potentialAscencio, MauricioBarrabés Vera, EstherCors Iglesias, Josep Maria|||0000-0002-9803-8490Vidal, ClaudioMany-body problemPlanetary ringsCelestial mechanicsRestricted N + 1-body problemManev potentialEquilibrium pointsStabilityProblema dels cossos múltiplesAnells planetarisMecànica celestClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanicsÀrees temàtiques de la UPC::Matemàtiques i estadísticaWe study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential (-1/r + e/r2), e ¿ 0, where is a parameter related to the oblaticity or radiation source (according to the sign of the parameter ). Specifically, we investigate the relative equilibria of the infinitesimal mass and their linear stability as functions of the parameter and the mass parameter , the ratio of mass of the central body to the mass of one of the remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.Second author is supported by the Spanish grant PGC2018-100928-B-I00. Third author is supported by MINECO grants MTM2013-40998-P, MTM2016-77278-P FEDER and AGAUR grant 2014 SGR 568.Peer Reviewed20232023-01-0120232023-12-20journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/398428https://dx.doi.org/10.1137/23M1551912reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-100928-B-I00 MECANICA CELESTE: METODOS ANALITICOS Y NUMERICOS Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3984282026-05-27T15:37:01Z
dc.title.none.fl_str_mv Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
title Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
spellingShingle Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
Ascencio, Mauricio
Many-body problem
Planetary rings
Celestial mechanics
Restricted N + 1-body problem
Manev potential
Equilibrium points
Stability
Problema dels cossos múltiples
Anells planetaris
Mecànica celest
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 Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
title_full Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
title_fullStr Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
title_full_unstemmed Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
title_sort Stability of equilibrium points in the spatially restricted N + 1-body problem with Manev potential
dc.creator.none.fl_str_mv Ascencio, Mauricio
Barrabés Vera, Esther
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Vidal, Claudio
author Ascencio, Mauricio
author_facet Ascencio, Mauricio
Barrabés Vera, Esther
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Vidal, Claudio
author_role author
author2 Barrabés Vera, Esther
Cors Iglesias, Josep Maria|||0000-0002-9803-8490
Vidal, Claudio
author2_role author
author
author
dc.subject.none.fl_str_mv Many-body problem
Planetary rings
Celestial mechanics
Restricted N + 1-body problem
Manev potential
Equilibrium points
Stability
Problema dels cossos múltiples
Anells planetaris
Mecànica celest
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
Planetary rings
Celestial mechanics
Restricted N + 1-body problem
Manev potential
Equilibrium points
Stability
Problema dels cossos múltiples
Anells planetaris
Mecànica celest
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 study the dynamics of an infinitesimal mass under the gravitational attraction of primaries arranged in a planar ring configuration plus the influence of the central mass with a Manev potential (-1/r + e/r2), e ¿ 0, where is a parameter related to the oblaticity or radiation source (according to the sign of the parameter ). Specifically, we investigate the relative equilibria of the infinitesimal mass and their linear stability as functions of the parameter and the mass parameter , the ratio of mass of the central body to the mass of one of the remaining bodies. We also prove the nonexistence of binary collisions between the central body and the infinitesimal mass.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01
2023
2023-12-20
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/2117/398428
https://dx.doi.org/10.1137/23M1551912
url https://hdl.handle.net/2117/398428
https://dx.doi.org/10.1137/23M1551912
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-100928-B-I00 MECANICA CELESTE: METODOS ANALITICOS Y NUMERICOS Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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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