Periodic orbits of the retrograde coorbital problem
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1093/mnras/stz2868 http://hdl.handle.net/11449/198432 |
Resumo: | Asteroid (514107) Ka'epaoka'awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the age of the Solar system, which implies that it must have been captured from another star when the Sun was still in its birth cluster. Ka'epaoka'awela orbit is also located at the peak of the capture probability in the coorbital resonance. Identifying the periodic orbits that Ka'epaoka'awela and similar asteroids followed during their evolution is an important step towards precisely understanding their capture mechanism. Here, we find the families of periodic orbits in the two-dimensional retrograde coorbital problem and analyse their stability and bifurcations into three-dimensional periodic orbits. Our results explain the radical differences observed in 2D and 3D coorbital capture simulations. In particular, we find that analytical and numerical results obtained for planar motion are not always valid at infinitesimal deviations from the plane. |
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Periodic orbits of the retrograde coorbital problemAsteroids: GeneralCelestial mechanics - minor planetsAsteroid (514107) Ka'epaoka'awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the age of the Solar system, which implies that it must have been captured from another star when the Sun was still in its birth cluster. Ka'epaoka'awela orbit is also located at the peak of the capture probability in the coorbital resonance. Identifying the periodic orbits that Ka'epaoka'awela and similar asteroids followed during their evolution is an important step towards precisely understanding their capture mechanism. Here, we find the families of periodic orbits in the two-dimensional retrograde coorbital problem and analyse their stability and bifurcations into three-dimensional periodic orbits. Our results explain the radical differences observed in 2D and 3D coorbital capture simulations. In particular, we find that analytical and numerical results obtained for planar motion are not always valid at infinitesimal deviations from the plane.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Federal de LavrasInstituto de Geociências e Ciências Exatas Universidade Estadual Paulista (UNESP), Av. 24-A, 1515CNRS Observatoire de la Côte d'Azur Université Côte d'Azur CS 24229Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista (UNESP), Av. 24-A, 1515FAPESP: FAPESP/2018/08620-1Universidade Federal de Lavras: PQ2/304037/2018-4Universidade Estadual Paulista (Unesp)CS 24229Morais, M. H.M. [UNESP]Namouni, F.2020-12-12T01:12:43Z2020-12-12T01:12:43Z2019-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3799-3805http://dx.doi.org/10.1093/mnras/stz2868Monthly Notices of the Royal Astronomical Society, v. 490, n. 3, p. 3799-3805, 2019.1365-29660035-8711http://hdl.handle.net/11449/19843210.1093/mnras/stz28682-s2.0-85078304344Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMonthly Notices of the Royal Astronomical Societyinfo:eu-repo/semantics/openAccess2021-10-23T11:39:17Zoai:repositorio.unesp.br:11449/198432Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:04:15.149640Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Periodic orbits of the retrograde coorbital problem |
title |
Periodic orbits of the retrograde coorbital problem |
spellingShingle |
Periodic orbits of the retrograde coorbital problem Morais, M. H.M. [UNESP] Asteroids: General Celestial mechanics - minor planets |
title_short |
Periodic orbits of the retrograde coorbital problem |
title_full |
Periodic orbits of the retrograde coorbital problem |
title_fullStr |
Periodic orbits of the retrograde coorbital problem |
title_full_unstemmed |
Periodic orbits of the retrograde coorbital problem |
title_sort |
Periodic orbits of the retrograde coorbital problem |
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 24229 |
dc.contributor.author.fl_str_mv |
Morais, M. H.M. [UNESP] Namouni, F. |
dc.subject.por.fl_str_mv |
Asteroids: General Celestial mechanics - minor planets |
topic |
Asteroids: General Celestial mechanics - minor planets |
description |
Asteroid (514107) Ka'epaoka'awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the age of the Solar system, which implies that it must have been captured from another star when the Sun was still in its birth cluster. Ka'epaoka'awela orbit is also located at the peak of the capture probability in the coorbital resonance. Identifying the periodic orbits that Ka'epaoka'awela and similar asteroids followed during their evolution is an important step towards precisely understanding their capture mechanism. Here, we find the families of periodic orbits in the two-dimensional retrograde coorbital problem and analyse their stability and bifurcations into three-dimensional periodic orbits. Our results explain the radical differences observed in 2D and 3D coorbital capture simulations. In particular, we find that analytical and numerical results obtained for planar motion are not always valid at infinitesimal deviations from the plane. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-12-01 2020-12-12T01:12:43Z 2020-12-12T01:12:43Z |
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/stz2868 Monthly Notices of the Royal Astronomical Society, v. 490, n. 3, p. 3799-3805, 2019. 1365-2966 0035-8711 http://hdl.handle.net/11449/198432 10.1093/mnras/stz2868 2-s2.0-85078304344 |
url |
http://dx.doi.org/10.1093/mnras/stz2868 http://hdl.handle.net/11449/198432 |
identifier_str_mv |
Monthly Notices of the Royal Astronomical Society, v. 490, n. 3, p. 3799-3805, 2019. 1365-2966 0035-8711 10.1093/mnras/stz2868 2-s2.0-85078304344 |
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 |
3799-3805 |
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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1808128311287611392 |