Numerical exploration of the limit ring problem
The final publication is available at Springer via http://dx.doi.org/10.1007/s12346-012-0082-0
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| 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:2117/105460 |
| Acceso en línea: | https://hdl.handle.net/2117/105460 https://dx.doi.org/10.1007/s12346-012-0082-0 |
| Access Level: | acceso abierto |
| Palabra clave: | Celestial mechanics Many-body problem Planetary rings Celestial Mechanics N body problem Mecànica celest Problema dels cossos múltiples Anells planetaris 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 Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics Àrees temàtiques de la UPC::Matemàtiques i estadística |
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Numerical exploration of the limit ring problemBarrabés Vera, EstherCors Iglesias, Josep Maria|||0000-0002-9803-8490Hall, G.R.Celestial mechanicsMany-body problemPlanetary ringsCelestial MechanicsN body problemPlanetary ringsMecànica celestProblema dels cossos múltiplesAnells planetarisClassificació 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 mechanicsClassificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamicsÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe final publication is available at Springer via http://dx.doi.org/10.1007/s12346-012-0082-0The aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the gravitational influence of a large central body and n smaller bodies located on the vertices of a regular n-gon. When considering n tending to infinity, a model depending on one parameter is obtained. We study the main important structures of the problem depending on this parameter (equilibria, Hill’s regions, linear stability, …). We use Poincaré maps, for different values of the parameter, in order to predict the width of the ring and the richness of the dynamics that occur is discussed. This work is a continuation of the work presented in Barrabés by (SIAM J Appl Dyn Syst 9:634–658, 2010).Peer Reviewed20132013-04-0120172017-06-15journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/105460https://dx.doi.org/10.1007/s12346-012-0082-0reponame: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:2117/1054602026-05-27T15:37:01Z |
| dc.title.none.fl_str_mv |
Numerical exploration of the limit ring problem |
| title |
Numerical exploration of the limit ring problem |
| spellingShingle |
Numerical exploration of the limit ring problem Barrabés Vera, Esther Celestial mechanics Many-body problem Planetary rings Celestial Mechanics N body problem Planetary rings Mecànica celest Problema dels cossos múltiples Anells planetaris 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 Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics Àrees temàtiques de la UPC::Matemàtiques i estadística |
| title_short |
Numerical exploration of the limit ring problem |
| title_full |
Numerical exploration of the limit ring problem |
| title_fullStr |
Numerical exploration of the limit ring problem |
| title_full_unstemmed |
Numerical exploration of the limit ring problem |
| title_sort |
Numerical exploration of the limit ring problem |
| dc.creator.none.fl_str_mv |
Barrabés Vera, Esther Cors Iglesias, Josep Maria|||0000-0002-9803-8490 Hall, G.R. |
| author |
Barrabés Vera, Esther |
| author_facet |
Barrabés Vera, Esther Cors Iglesias, Josep Maria|||0000-0002-9803-8490 Hall, G.R. |
| author_role |
author |
| author2 |
Cors Iglesias, Josep Maria|||0000-0002-9803-8490 Hall, G.R. |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Celestial mechanics Many-body problem Planetary rings Celestial Mechanics N body problem Planetary rings Mecànica celest Problema dels cossos múltiples Anells planetaris 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 Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics Àrees temàtiques de la UPC::Matemàtiques i estadística |
| topic |
Celestial mechanics Many-body problem Planetary rings Celestial Mechanics N body problem Planetary rings Mecànica celest Problema dels cossos múltiples Anells planetaris 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 Classificació AMS::70 Mechanics of particles and systems::70K Nonlinear dynamics Àrees temàtiques de la UPC::Matemàtiques i estadística |
| description |
The final publication is available at Springer via http://dx.doi.org/10.1007/s12346-012-0082-0 |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013 2013-04-01 2017 2017-06-15 |
| 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/2117/105460 https://dx.doi.org/10.1007/s12346-012-0082-0 |
| url |
https://hdl.handle.net/2117/105460 https://dx.doi.org/10.1007/s12346-012-0082-0 |
| 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 |
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open access http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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application/pdf |
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reponame:UPCommons. Portal del coneixement obert de la UPC instname:Universitat Politècnica de Catalunya (UPC) |
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Universitat Politècnica de Catalunya (UPC) |
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UPCommons. Portal del coneixement obert de la UPC |
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UPCommons. Portal del coneixement obert de la UPC |
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