Resonance libration and width at arbitrary inclination
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/10.1093/mnras/staa348 http://hdl.handle.net/11449/195306 |
Resumo: | We apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of the three-body problem. We examine the 2:1 and 3:1 inner Jupiter and 1:2 and 1:3 outer Neptune resonances and their possible asymmetric librations using a new analytical pendulum model of resonance that includes the simultaneous libration of multiple arguments and their second harmonics. The numerically derived resonance separatrices are obtained using the mean exponential growth factor of nearby orbits (MEGNO chaos indicator). We find that the analytical and numerical estimates are in agreement and that resonance width is determined by the first few fundamental resonance modes that librate simultaneously on the resonant time-scale. Our results demonstrate that the new pendulum model may be used to ascertain resonance width analytically, and more generally, that the disturbing function for arbitrary inclination is a powerful analytical tool that describes resonance dynamics of low as well as high inclination asteroids in the Solar system. |
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Resonance libration and width at arbitrary inclinationcelestial mechanicscomets: generalKuiper belt: generalminor planets, asteroids: generalOort CloudWe apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of the three-body problem. We examine the 2:1 and 3:1 inner Jupiter and 1:2 and 1:3 outer Neptune resonances and their possible asymmetric librations using a new analytical pendulum model of resonance that includes the simultaneous libration of multiple arguments and their second harmonics. The numerically derived resonance separatrices are obtained using the mean exponential growth factor of nearby orbits (MEGNO chaos indicator). We find that the analytical and numerical estimates are in agreement and that resonance width is determined by the first few fundamental resonance modes that librate simultaneously on the resonant time-scale. Our results demonstrate that the new pendulum model may be used to ascertain resonance width analytically, and more generally, that the disturbing function for arbitrary inclination is a powerful analytical tool that describes resonance dynamics of low as well as high inclination asteroids in the Solar system.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)FINEPUniv Cote dAzur, CNRS, Observ Cote dAzur, CS 34229, F-06304 Nice, FranceUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, UNESP, Av 24-A,1515, BR-13506900 Rio Claro, SP, BrazilUniv Estadual Paulista, Inst Geociencias & Ciencias Exatas, UNESP, Av 24-A,1515, BR-13506900 Rio Claro, SP, BrazilFAPESP: FAPESP/2018/08620-1CNPq: Pq2/304037/2018-4Oxford Univ PressUniv Cote dAzurUniversidade Estadual Paulista (Unesp)Namouni, E.Morais, M. H. M. [UNESP]2020-12-10T17:30:06Z2020-12-10T17:30:06Z2020-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2854-2871http://dx.doi.org/10.1093/mnras/staa348Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 493, n. 2, p. 2854-2871, 2020.0035-8711http://hdl.handle.net/11449/19530610.1093/mnras/staa348WOS:000525996700097Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMonthly Notices Of The Royal Astronomical Societyinfo:eu-repo/semantics/openAccess2021-10-23T07:27:48Zoai:repositorio.unesp.br:11449/195306Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T07:27:48Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Resonance libration and width at arbitrary inclination |
title |
Resonance libration and width at arbitrary inclination |
spellingShingle |
Resonance libration and width at arbitrary inclination Namouni, E. celestial mechanics comets: general Kuiper belt: general minor planets, asteroids: general Oort Cloud |
title_short |
Resonance libration and width at arbitrary inclination |
title_full |
Resonance libration and width at arbitrary inclination |
title_fullStr |
Resonance libration and width at arbitrary inclination |
title_full_unstemmed |
Resonance libration and width at arbitrary inclination |
title_sort |
Resonance libration and width at arbitrary inclination |
author |
Namouni, E. |
author_facet |
Namouni, E. Morais, M. H. M. [UNESP] |
author_role |
author |
author2 |
Morais, M. H. M. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Univ Cote dAzur Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Namouni, E. Morais, M. H. M. [UNESP] |
dc.subject.por.fl_str_mv |
celestial mechanics comets: general Kuiper belt: general minor planets, asteroids: general Oort Cloud |
topic |
celestial mechanics comets: general Kuiper belt: general minor planets, asteroids: general Oort Cloud |
description |
We apply the analytical disturbing function for arbitrary inclination derived in our previous work to characterize resonant width and libration of mean motion resonances at arbitrary inclination obtained from direct numerical simulations of the three-body problem. We examine the 2:1 and 3:1 inner Jupiter and 1:2 and 1:3 outer Neptune resonances and their possible asymmetric librations using a new analytical pendulum model of resonance that includes the simultaneous libration of multiple arguments and their second harmonics. The numerically derived resonance separatrices are obtained using the mean exponential growth factor of nearby orbits (MEGNO chaos indicator). We find that the analytical and numerical estimates are in agreement and that resonance width is determined by the first few fundamental resonance modes that librate simultaneously on the resonant time-scale. Our results demonstrate that the new pendulum model may be used to ascertain resonance width analytically, and more generally, that the disturbing function for arbitrary inclination is a powerful analytical tool that describes resonance dynamics of low as well as high inclination asteroids in the Solar system. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-10T17:30:06Z 2020-12-10T17:30:06Z 2020-04-01 |
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/staa348 Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 493, n. 2, p. 2854-2871, 2020. 0035-8711 http://hdl.handle.net/11449/195306 10.1093/mnras/staa348 WOS:000525996700097 |
url |
http://dx.doi.org/10.1093/mnras/staa348 http://hdl.handle.net/11449/195306 |
identifier_str_mv |
Monthly Notices Of The Royal Astronomical Society. Oxford: Oxford Univ Press, v. 493, n. 2, p. 2854-2871, 2020. 0035-8711 10.1093/mnras/staa348 WOS:000525996700097 |
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 |
2854-2871 |
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_ |
1803047247380742144 |