Analytical and numerical approaches to study the gravitational capture in the four-body problem

Detalhes bibliográficos
Autor(a) principal: Prado,Antonio F B. de A
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000300013
Resumo: The objective of this paper is to study the problem of gravitational capture in the bi-circular restricted four-body problem. A gravitational capture occurs when a massless particle changes its two-body energy around one celestial body from positive to negative without the use of non-gravitational forces. It is mainly studied the effect of the fourth-body included in the dynamics. The Earth-Moon system with the inclusion of the Sun is used for the numerical simulations. The results show the savings obtained in this more realistic model when compared with the more traditional restricted three-body problem model. It is clear that large savings are obtained thanks to the effect of the Sun, if a proper geometry is used for the maneuver.
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spelling Analytical and numerical approaches to study the gravitational capture in the four-body problemAstrodynamicsgravitational capturecelestial mechanicsrestricted four-body problemThe objective of this paper is to study the problem of gravitational capture in the bi-circular restricted four-body problem. A gravitational capture occurs when a massless particle changes its two-body energy around one celestial body from positive to negative without the use of non-gravitational forces. It is mainly studied the effect of the fourth-body included in the dynamics. The Earth-Moon system with the inclusion of the Sun is used for the numerical simulations. The results show the savings obtained in this more realistic model when compared with the more traditional restricted three-body problem model. It is clear that large savings are obtained thanks to the effect of the Sun, if a proper geometry is used for the maneuver.Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM2006-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000300013Journal of the Brazilian Society of Mechanical Sciences and Engineering v.28 n.3 2006reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1678-58782006000300013info:eu-repo/semantics/openAccessPrado,Antonio F B. de Aeng2006-08-18T00:00:00Zoai:scielo:S1678-58782006000300013Revistahttps://www.scielo.br/j/jbsmse/https://old.scielo.br/oai/scielo-oai.php||abcm@abcm.org.br1806-36911678-5878opendoar:2006-08-18T00:00Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Analytical and numerical approaches to study the gravitational capture in the four-body problem
title Analytical and numerical approaches to study the gravitational capture in the four-body problem
spellingShingle Analytical and numerical approaches to study the gravitational capture in the four-body problem
Prado,Antonio F B. de A
Astrodynamics
gravitational capture
celestial mechanics
restricted four-body problem
title_short Analytical and numerical approaches to study the gravitational capture in the four-body problem
title_full Analytical and numerical approaches to study the gravitational capture in the four-body problem
title_fullStr Analytical and numerical approaches to study the gravitational capture in the four-body problem
title_full_unstemmed Analytical and numerical approaches to study the gravitational capture in the four-body problem
title_sort Analytical and numerical approaches to study the gravitational capture in the four-body problem
author Prado,Antonio F B. de A
author_facet Prado,Antonio F B. de A
author_role author
dc.contributor.author.fl_str_mv Prado,Antonio F B. de A
dc.subject.por.fl_str_mv Astrodynamics
gravitational capture
celestial mechanics
restricted four-body problem
topic Astrodynamics
gravitational capture
celestial mechanics
restricted four-body problem
description The objective of this paper is to study the problem of gravitational capture in the bi-circular restricted four-body problem. A gravitational capture occurs when a massless particle changes its two-body energy around one celestial body from positive to negative without the use of non-gravitational forces. It is mainly studied the effect of the fourth-body included in the dynamics. The Earth-Moon system with the inclusion of the Sun is used for the numerical simulations. The results show the savings obtained in this more realistic model when compared with the more traditional restricted three-body problem model. It is clear that large savings are obtained thanks to the effect of the Sun, if a proper geometry is used for the maneuver.
publishDate 2006
dc.date.none.fl_str_mv 2006-09-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000300013
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782006000300013
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1678-58782006000300013
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.28 n.3 2006
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
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reponame_str Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
collection Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository.name.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv ||abcm@abcm.org.br
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