A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1093/mnras/stac1606 http://hdl.handle.net/11449/237643 |
Resumo: | We present a numerical study on the stability of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in the three-body problem composed of a solar mass star, a Jupiter mass planet, and an additional body with zero mass (elliptic restricted three-body problem) or masses corresponding to either Neptune, Saturn, or Jupiter (planetary three-body problem). For each system, we obtain stability maps using the n-body numerical integrator REBOUND and computing the chaos indicator mean exponential growth factor of nearby orbits (MEGNO). We show that families of periodic orbits exist in all configurations and they correspond to the libration of either a single resonant argument or all resonant arguments (fixed points). We compare the results obtained in the elliptic restricted three-body problem with previous results in the literature, and we show the differences and similarities between the phase space topology for these retrograde resonances in the circular restricted, elliptic restricted, and planetary three-body problems. |
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A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systemsChaosmethods: numericalPlanets and satellites: dynamical evolution and stability(stars:) planetary systemsWe present a numerical study on the stability of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in the three-body problem composed of a solar mass star, a Jupiter mass planet, and an additional body with zero mass (elliptic restricted three-body problem) or masses corresponding to either Neptune, Saturn, or Jupiter (planetary three-body problem). For each system, we obtain stability maps using the n-body numerical integrator REBOUND and computing the chaos indicator mean exponential growth factor of nearby orbits (MEGNO). We show that families of periodic orbits exist in all configurations and they correspond to the libration of either a single resonant argument or all resonant arguments (fixed points). We compare the results obtained in the elliptic restricted three-body problem with previous results in the literature, and we show the differences and similarities between the phase space topology for these retrograde resonances in the circular restricted, elliptic restricted, and planetary three-body problems.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Av 24-A,1515, BR-13506900 Rio Claro, SP, BrazilUniv Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Av 24-A,1515, BR-13506900 Rio Claro, SP, BrazilCAPES: 001CNPq: PQ2/304037/2018-4FAPESP: FAPESP/2019/24958-5FAPESP: FAPESP/2021/11982-5Oxford Univ PressUniversidade Estadual Paulista (UNESP)Carita, Gabriel Antonio [UNESP]Signor, Alan Cefali [UNESP]Morais, Maria Helena Moreira [UNESP]2022-11-30T13:40:42Z2022-11-30T13:40:42Z2022-07-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2280-2292http://dx.doi.org/10.1093/mnras/stac1606Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 515, n. 2, p. 2280-2292, 2022.0035-8711http://hdl.handle.net/11449/23764310.1093/mnras/stac1606WOS:000834368400001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMonthly Notices Of The Royal Astronomical Societyinfo:eu-repo/semantics/openAccess2022-11-30T13:40:42Zoai:repositorio.unesp.br:11449/237643Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:30:09.230499Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
title |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
spellingShingle |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems Carita, Gabriel Antonio [UNESP] Chaos methods: numerical Planets and satellites: dynamical evolution and stability (stars:) planetary systems |
title_short |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
title_full |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
title_fullStr |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
title_full_unstemmed |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
title_sort |
A numerical study of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in planetary systems |
author |
Carita, Gabriel Antonio [UNESP] |
author_facet |
Carita, Gabriel Antonio [UNESP] Signor, Alan Cefali [UNESP] Morais, Maria Helena Moreira [UNESP] |
author_role |
author |
author2 |
Signor, Alan Cefali [UNESP] Morais, Maria Helena Moreira [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Carita, Gabriel Antonio [UNESP] Signor, Alan Cefali [UNESP] Morais, Maria Helena Moreira [UNESP] |
dc.subject.por.fl_str_mv |
Chaos methods: numerical Planets and satellites: dynamical evolution and stability (stars:) planetary systems |
topic |
Chaos methods: numerical Planets and satellites: dynamical evolution and stability (stars:) planetary systems |
description |
We present a numerical study on the stability of the 1/2, 2/1, and 1/1 retrograde mean motion resonances in the three-body problem composed of a solar mass star, a Jupiter mass planet, and an additional body with zero mass (elliptic restricted three-body problem) or masses corresponding to either Neptune, Saturn, or Jupiter (planetary three-body problem). For each system, we obtain stability maps using the n-body numerical integrator REBOUND and computing the chaos indicator mean exponential growth factor of nearby orbits (MEGNO). We show that families of periodic orbits exist in all configurations and they correspond to the libration of either a single resonant argument or all resonant arguments (fixed points). We compare the results obtained in the elliptic restricted three-body problem with previous results in the literature, and we show the differences and similarities between the phase space topology for these retrograde resonances in the circular restricted, elliptic restricted, and planetary three-body problems. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-11-30T13:40:42Z 2022-11-30T13:40:42Z 2022-07-29 |
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/10.1093/mnras/stac1606 Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 515, n. 2, p. 2280-2292, 2022. 0035-8711 http://hdl.handle.net/11449/237643 10.1093/mnras/stac1606 WOS:000834368400001 |
url |
http://dx.doi.org/10.1093/mnras/stac1606 http://hdl.handle.net/11449/237643 |
identifier_str_mv |
Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 515, n. 2, p. 2280-2292, 2022. 0035-8711 10.1093/mnras/stac1606 WOS:000834368400001 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Monthly Notices Of The Royal Astronomical Society |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2280-2292 |
dc.publisher.none.fl_str_mv |
Oxford Univ Press |
publisher.none.fl_str_mv |
Oxford Univ Press |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808129432270929920 |