On retrograde orbits, resonances and stability
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
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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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 |
|
_version_ |
1803045924290691072 |