Possibility of collision between co-orbital asteroids and the Earth

Detalhes bibliográficos
Autor(a) principal: Domingos, R. C.
Data de Publicação: 2005
Outros Autores: Winter, O. C. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/s1807-03022005000100006
http://hdl.handle.net/11449/232031
Resumo: Considering hypothetical co-orbital asteroids with the Earth, Tatum (1997) presented a study about the necessary radial distance in order to produce collision. He adopted an analysis considering a composition of circular two-body systems, Sun-Earth and Sun-Asteroid. He found that asteroids with radial positions between 0.9943 and 1.0057AU would necessarily collide with the Earth. In the present work, we show that this problem cannot be treated in this way. Adopting the circular restricted three-body problem, we verified that asteroids in the supposed region of collision with the Earth have stable horseshoe trajectories. Therefore, in the co-orbital region the dynamical system has to be studied as a restricted three-body problem since the composition of two-body problems gives a misleading result.
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spelling Possibility of collision between co-orbital asteroids and the EarthAsteroidCo-orbitalCollisionEarthConsidering hypothetical co-orbital asteroids with the Earth, Tatum (1997) presented a study about the necessary radial distance in order to produce collision. He adopted an analysis considering a composition of circular two-body systems, Sun-Earth and Sun-Asteroid. He found that asteroids with radial positions between 0.9943 and 1.0057AU would necessarily collide with the Earth. In the present work, we show that this problem cannot be treated in this way. Adopting the circular restricted three-body problem, we verified that asteroids in the supposed region of collision with the Earth have stable horseshoe trajectories. Therefore, in the co-orbital region the dynamical system has to be studied as a restricted three-body problem since the composition of two-body problems gives a misleading result.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Instituto Nacional de Pesquisas Espaciais INPEGrupo de Dinâmica Orbital e Planetologia UNESP, Cx. Postal 205Grupo de Dinâmica Orbital e Planetologia UNESP, Cx. Postal 205INPEUniversidade Estadual Paulista (UNESP)Domingos, R. C.Winter, O. C. [UNESP]2022-04-29T08:48:45Z2022-04-29T08:48:45Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article99-107http://dx.doi.org/10.1590/s1807-03022005000100006Computational and Applied Mathematics, v. 24, n. 1, p. 99-107, 2005.1807-03022238-3603http://hdl.handle.net/11449/23203110.1590/s1807-030220050001000062-s2.0-80053484624Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2024-07-02T14:29:32Zoai:repositorio.unesp.br:11449/232031Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:53:51.724403Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Possibility of collision between co-orbital asteroids and the Earth
title Possibility of collision between co-orbital asteroids and the Earth
spellingShingle Possibility of collision between co-orbital asteroids and the Earth
Domingos, R. C.
Asteroid
Co-orbital
Collision
Earth
title_short Possibility of collision between co-orbital asteroids and the Earth
title_full Possibility of collision between co-orbital asteroids and the Earth
title_fullStr Possibility of collision between co-orbital asteroids and the Earth
title_full_unstemmed Possibility of collision between co-orbital asteroids and the Earth
title_sort Possibility of collision between co-orbital asteroids and the Earth
author Domingos, R. C.
author_facet Domingos, R. C.
Winter, O. C. [UNESP]
author_role author
author2 Winter, O. C. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv INPE
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Domingos, R. C.
Winter, O. C. [UNESP]
dc.subject.por.fl_str_mv Asteroid
Co-orbital
Collision
Earth
topic Asteroid
Co-orbital
Collision
Earth
description Considering hypothetical co-orbital asteroids with the Earth, Tatum (1997) presented a study about the necessary radial distance in order to produce collision. He adopted an analysis considering a composition of circular two-body systems, Sun-Earth and Sun-Asteroid. He found that asteroids with radial positions between 0.9943 and 1.0057AU would necessarily collide with the Earth. In the present work, we show that this problem cannot be treated in this way. Adopting the circular restricted three-body problem, we verified that asteroids in the supposed region of collision with the Earth have stable horseshoe trajectories. Therefore, in the co-orbital region the dynamical system has to be studied as a restricted three-body problem since the composition of two-body problems gives a misleading result.
publishDate 2005
dc.date.none.fl_str_mv 2005-01-01
2022-04-29T08:48:45Z
2022-04-29T08:48:45Z
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/10.1590/s1807-03022005000100006
Computational and Applied Mathematics, v. 24, n. 1, p. 99-107, 2005.
1807-0302
2238-3603
http://hdl.handle.net/11449/232031
10.1590/s1807-03022005000100006
2-s2.0-80053484624
url http://dx.doi.org/10.1590/s1807-03022005000100006
http://hdl.handle.net/11449/232031
identifier_str_mv Computational and Applied Mathematics, v. 24, n. 1, p. 99-107, 2005.
1807-0302
2238-3603
10.1590/s1807-03022005000100006
2-s2.0-80053484624
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 99-107
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_ 1808129562867924992

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