Possibility of collision between co-orbital asteroids and the Earth
Main Author: | |
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Publication Date: | 2005 |
Other Authors: | |
Format: | Article |
Language: | eng |
Source: | Computational & Applied Mathematics |
Download full: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100006 |
Summary: | 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 1.0057 AU 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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Possibility of collision between co-orbital asteroids and the Earthco-orbitalcollisionEarthasteroidConsidering 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 1.0057 AU 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.Sociedade Brasileira de Matemática Aplicada e Computacional2005-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100006Computational & Applied Mathematics v.24 n.1 2005reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessDomingos,R. C.Winter,O. C.eng2009-05-07T00:00:00Zoai:scielo:S1807-03022005000100006Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2009-05-07T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)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. co-orbital collision Earth asteroid |
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. |
author_role |
author |
author2 |
Winter,O. C. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Domingos,R. C. Winter,O. C. |
dc.subject.por.fl_str_mv |
co-orbital collision Earth asteroid |
topic |
co-orbital collision Earth asteroid |
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 1.0057 AU 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 |
2005-04-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100006 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100006 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
Computational & Applied Mathematics v.24 n.1 2005 reponame:Computational & Applied Mathematics instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
Computational & Applied Mathematics |
collection |
Computational & Applied Mathematics |
repository.name.fl_str_mv |
Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
repository.mail.fl_str_mv |
||sbmac@sbmac.org.br |
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1754734889727426560 |