Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.icarus.2020.113820 http://hdl.handle.net/11449/198889 |
Resumo: | The short-term, resonant and long-term dynamics of Anthe (S/2007 S4), are investigated with the most recent published ephemeris of the Saturnian system. We identify and explain many components in the time variations of the elements of Anthe as being caused by the joined effects of the Corotation resonance, the secular precessions of the orbits of Anthe and Mimas due to the effects of the oblateness of Saturn and long-term mutual interactions. Firstly, it is shown that the current resonant state of the pair Mimas-Anthe is characterized uniquely by the stable libration of the corotation angle ϕ1 ≡ 11λA − 10λM − ϖM around zero, where A, M, λ, ϖ refer to Anthe, Mimas, mean longitude and longitude of the pericenter, respectively. We find that only the corotation angle ϕ1 is stably librating, while all other arguments for the other sub-resonances (including the angular combination 11λA − 10λM − ϖA − ΩA + ΩM, where Ω is the longitude of the ascending node) are circulating on long time scales. This is consistent with the absence of chaos in Anthe's orbit. In the second part of this work, we map the 11:10 Mimas-Anthe resonance in the eccentricity-semi-major axis phase space. We identify non-chaotic regions around both the Corotation and Lindblad resonances, which are separated by chaotic zones. The orbit of Anthe is located deeply inside the stable regions of the Corotation resonance. |
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Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to AntheResonances, orbitalSatellites, dynamicsSatellites, generalSaturn, satellitesThe short-term, resonant and long-term dynamics of Anthe (S/2007 S4), are investigated with the most recent published ephemeris of the Saturnian system. We identify and explain many components in the time variations of the elements of Anthe as being caused by the joined effects of the Corotation resonance, the secular precessions of the orbits of Anthe and Mimas due to the effects of the oblateness of Saturn and long-term mutual interactions. Firstly, it is shown that the current resonant state of the pair Mimas-Anthe is characterized uniquely by the stable libration of the corotation angle ϕ1 ≡ 11λA − 10λM − ϖM around zero, where A, M, λ, ϖ refer to Anthe, Mimas, mean longitude and longitude of the pericenter, respectively. We find that only the corotation angle ϕ1 is stably librating, while all other arguments for the other sub-resonances (including the angular combination 11λA − 10λM − ϖA − ΩA + ΩM, where Ω is the longitude of the ascending node) are circulating on long time scales. This is consistent with the absence of chaos in Anthe's orbit. In the second part of this work, we map the 11:10 Mimas-Anthe resonance in the eccentricity-semi-major axis phase space. We identify non-chaotic regions around both the Corotation and Lindblad resonances, which are separated by chaotic zones. The orbit of Anthe is located deeply inside the stable regions of the Corotation resonance.São Paulo State University (UNESP) Institute of Geosciences and Exact Sciences, Rio Claro. Av. 24-A, 1515São Paulo State University (UNESP) Institute of Geosciences and Exact Sciences, Rio Claro. Av. 24-A, 1515Universidade Estadual Paulista (Unesp)Callegari, N. [UNESP]Yokoyama, T. [UNESP]2020-12-12T01:24:43Z2020-12-12T01:24:43Z2020-09-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.icarus.2020.113820Icarus, v. 348.1090-26430019-1035http://hdl.handle.net/11449/19888910.1016/j.icarus.2020.1138202-s2.0-85085487251Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIcarusinfo:eu-repo/semantics/openAccess2021-10-22T20:49:13Zoai:repositorio.unesp.br:11449/198889Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:47:42.012717Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
title |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
spellingShingle |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe Callegari, N. [UNESP] Resonances, orbital Satellites, dynamics Satellites, general Saturn, satellites |
title_short |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
title_full |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
title_fullStr |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
title_full_unstemmed |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
title_sort |
Dynamics of the 11:10 Corotation and Lindblad resonances with Mimas, and application to Anthe |
author |
Callegari, N. [UNESP] |
author_facet |
Callegari, N. [UNESP] Yokoyama, T. [UNESP] |
author_role |
author |
author2 |
Yokoyama, T. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Callegari, N. [UNESP] Yokoyama, T. [UNESP] |
dc.subject.por.fl_str_mv |
Resonances, orbital Satellites, dynamics Satellites, general Saturn, satellites |
topic |
Resonances, orbital Satellites, dynamics Satellites, general Saturn, satellites |
description |
The short-term, resonant and long-term dynamics of Anthe (S/2007 S4), are investigated with the most recent published ephemeris of the Saturnian system. We identify and explain many components in the time variations of the elements of Anthe as being caused by the joined effects of the Corotation resonance, the secular precessions of the orbits of Anthe and Mimas due to the effects of the oblateness of Saturn and long-term mutual interactions. Firstly, it is shown that the current resonant state of the pair Mimas-Anthe is characterized uniquely by the stable libration of the corotation angle ϕ1 ≡ 11λA − 10λM − ϖM around zero, where A, M, λ, ϖ refer to Anthe, Mimas, mean longitude and longitude of the pericenter, respectively. We find that only the corotation angle ϕ1 is stably librating, while all other arguments for the other sub-resonances (including the angular combination 11λA − 10λM − ϖA − ΩA + ΩM, where Ω is the longitude of the ascending node) are circulating on long time scales. This is consistent with the absence of chaos in Anthe's orbit. In the second part of this work, we map the 11:10 Mimas-Anthe resonance in the eccentricity-semi-major axis phase space. We identify non-chaotic regions around both the Corotation and Lindblad resonances, which are separated by chaotic zones. The orbit of Anthe is located deeply inside the stable regions of the Corotation resonance. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T01:24:43Z 2020-12-12T01:24:43Z 2020-09-15 |
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/10.1016/j.icarus.2020.113820 Icarus, v. 348. 1090-2643 0019-1035 http://hdl.handle.net/11449/198889 10.1016/j.icarus.2020.113820 2-s2.0-85085487251 |
url |
http://dx.doi.org/10.1016/j.icarus.2020.113820 http://hdl.handle.net/11449/198889 |
identifier_str_mv |
Icarus, v. 348. 1090-2643 0019-1035 10.1016/j.icarus.2020.113820 2-s2.0-85085487251 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Icarus |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808129249324826624 |