On retrograde orbits, resonances and stability

Detalhes bibliográficos
Autor(a) principal: Morais, M. H.M. [UNESP]
Data de Publicação: 2016
Outros Autores: Namouni, F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s40314-015-0295-3
http://hdl.handle.net/11449/168997
Resumo: We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations with respect to prograde configurations in the low mass ratio regime of the planar circular restricted 3-body problem. Motivated by the recent discovery of small bodies which are in retrograde resonance with the Solar System’s giant planets we then explore the case with mass ratio 0.001 and show new stability maps in a grid of semi-major axis versus eccentricity for the 2/1 and 1/2 retrograde resonances. Finally, we explain how the stability borders of the 2/1 and 1/2 retrograde resonances are related to the resonant orbits’ geometry.
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spelling On retrograde orbits, resonances and stabilityResonanceRetrogradeStabilityWe start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations with respect to prograde configurations in the low mass ratio regime of the planar circular restricted 3-body problem. Motivated by the recent discovery of small bodies which are in retrograde resonance with the Solar System’s giant planets we then explore the case with mass ratio 0.001 and show new stability maps in a grid of semi-major axis versus eccentricity for the 2/1 and 1/2 retrograde resonances. Finally, we explain how the stability borders of the 2/1 and 1/2 retrograde resonances are related to the resonant orbits’ geometry.Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista (UNESP), Av. 24-A, 1515Université de Nice CNRS Observatoire de la Côte dAzur CS 34229Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista (UNESP), Av. 24-A, 1515Universidade Estadual Paulista (Unesp)CS 34229Morais, M. H.M. [UNESP]Namouni, F.2018-12-11T16:43:57Z2018-12-11T16:43:57Z2016-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article881-891application/pdfhttp://dx.doi.org/10.1007/s40314-015-0295-3Computational and Applied Mathematics, v. 35, n. 3, p. 881-891, 2016.1807-03020101-8205http://hdl.handle.net/11449/16899710.1007/s40314-015-0295-32-s2.0-849898254722-s2.0-84989825472.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0,272info:eu-repo/semantics/openAccess2023-10-10T06:07:19Zoai:repositorio.unesp.br:11449/168997Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-10T06:07:19Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On retrograde orbits, resonances and stability
title On retrograde orbits, resonances and stability
spellingShingle On retrograde orbits, resonances and stability
Morais, M. H.M. [UNESP]
Resonance
Retrograde
Stability
title_short On retrograde orbits, resonances and stability
title_full On retrograde orbits, resonances and stability
title_fullStr On retrograde orbits, resonances and stability
title_full_unstemmed On retrograde orbits, resonances and stability
title_sort On retrograde orbits, resonances and stability
author Morais, M. H.M. [UNESP]
author_facet Morais, M. H.M. [UNESP]
Namouni, F.
author_role author
author2 Namouni, F.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
CS 34229
dc.contributor.author.fl_str_mv Morais, M. H.M. [UNESP]
Namouni, F.
dc.subject.por.fl_str_mv Resonance
Retrograde
Stability
topic Resonance
Retrograde
Stability
description We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations with respect to prograde configurations in the low mass ratio regime of the planar circular restricted 3-body problem. Motivated by the recent discovery of small bodies which are in retrograde resonance with the Solar System’s giant planets we then explore the case with mass ratio 0.001 and show new stability maps in a grid of semi-major axis versus eccentricity for the 2/1 and 1/2 retrograde resonances. Finally, we explain how the stability borders of the 2/1 and 1/2 retrograde resonances are related to the resonant orbits’ geometry.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-01
2018-12-11T16:43:57Z
2018-12-11T16:43:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s40314-015-0295-3
Computational and Applied Mathematics, v. 35, n. 3, p. 881-891, 2016.
1807-0302
0101-8205
http://hdl.handle.net/11449/168997
10.1007/s40314-015-0295-3
2-s2.0-84989825472
2-s2.0-84989825472.pdf
url http://dx.doi.org/10.1007/s40314-015-0295-3
http://hdl.handle.net/11449/168997
identifier_str_mv Computational and Applied Mathematics, v. 35, n. 3, p. 881-891, 2016.
1807-0302
0101-8205
10.1007/s40314-015-0295-3
2-s2.0-84989825472
2-s2.0-84989825472.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 881-891
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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