Collision and Stable Regions around Bodies with Simple Geometric Shape
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1155/2009/396267 http://hdl.handle.net/11449/42394 |
Resumo: | We show the expressions of the gravitational potential of homogeneous bodies with well-defined simple geometric shapes to study the phase space of trajectories around these bodies. The potentials of the rectangular and triangular plates are presented. With these expressions we study the phase space of trajectories of a point of mass around the plates, using the Poincare surface of section technique. We determined the location and the size of the stable and collision regions in the phase space, and the identification of some resonances. This work is the first and an important step for others studies, considering 3D bodies. The study of the behavior of a point of mass orbiting around these plates (2D), near their corners, can be used as a parameter to understand the influence of the gravitational potential when the particle is close to an irregular surface, such as large craters and ridges. Copyright (C) 2009 A. A. Silva et al. |
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Collision and Stable Regions around Bodies with Simple Geometric ShapeWe show the expressions of the gravitational potential of homogeneous bodies with well-defined simple geometric shapes to study the phase space of trajectories around these bodies. The potentials of the rectangular and triangular plates are presented. With these expressions we study the phase space of trajectories of a point of mass around the plates, using the Poincare surface of section technique. We determined the location and the size of the stable and collision regions in the phase space, and the identification of some resonances. This work is the first and an important step for others studies, considering 3D bodies. The study of the behavior of a point of mass orbiting around these plates (2D), near their corners, can be used as a parameter to understand the influence of the gravitational potential when the particle is close to an irregular surface, such as large craters and ridges. Copyright (C) 2009 A. A. Silva et al.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Natl Inst Space Res INPE, Space Mech & Control Div DMC, BR-12227010 Sao Jose Dos Campos, BrazilUniv Estadual Paulista, Grp Dinam Orbital & Planetol, BR-12516410 Paulista, BrazilUNIVAP, CT 1, BR-12245020 Sao Jose Dos Campos, BrazilUniv Estadual Paulista, Grp Dinam Orbital & Planetol, BR-12516410 Paulista, BrazilHindawi Publishing CorporationInstituto Nacional de Pesquisas Espaciais (INPE)Universidade Estadual Paulista (Unesp)UNIVAPSilva, A. A. [UNESP]Winter, O. C. [UNESP]Prado, A. F. B. A. [UNESP]2014-05-20T15:34:01Z2014-05-20T15:34:01Z2009-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article14application/pdfhttp://dx.doi.org/10.1155/2009/396267Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009.1024-123Xhttp://hdl.handle.net/11449/4239410.1155/2009/396267WOS:000274898600001WOS000274898600001.pdf0960024575647258Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.145info:eu-repo/semantics/openAccess2024-01-10T06:24:51Zoai:repositorio.unesp.br:11449/42394Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-10T06:24:51Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
title |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
spellingShingle |
Collision and Stable Regions around Bodies with Simple Geometric Shape Silva, A. A. [UNESP] |
title_short |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
title_full |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
title_fullStr |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
title_full_unstemmed |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
title_sort |
Collision and Stable Regions around Bodies with Simple Geometric Shape |
author |
Silva, A. A. [UNESP] |
author_facet |
Silva, A. A. [UNESP] Winter, O. C. [UNESP] Prado, A. F. B. A. [UNESP] |
author_role |
author |
author2 |
Winter, O. C. [UNESP] Prado, A. F. B. A. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Instituto Nacional de Pesquisas Espaciais (INPE) Universidade Estadual Paulista (Unesp) UNIVAP |
dc.contributor.author.fl_str_mv |
Silva, A. A. [UNESP] Winter, O. C. [UNESP] Prado, A. F. B. A. [UNESP] |
description |
We show the expressions of the gravitational potential of homogeneous bodies with well-defined simple geometric shapes to study the phase space of trajectories around these bodies. The potentials of the rectangular and triangular plates are presented. With these expressions we study the phase space of trajectories of a point of mass around the plates, using the Poincare surface of section technique. We determined the location and the size of the stable and collision regions in the phase space, and the identification of some resonances. This work is the first and an important step for others studies, considering 3D bodies. The study of the behavior of a point of mass orbiting around these plates (2D), near their corners, can be used as a parameter to understand the influence of the gravitational potential when the particle is close to an irregular surface, such as large craters and ridges. Copyright (C) 2009 A. A. Silva et al. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-01-01 2014-05-20T15:34:01Z 2014-05-20T15:34:01Z |
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/10.1155/2009/396267 Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009. 1024-123X http://hdl.handle.net/11449/42394 10.1155/2009/396267 WOS:000274898600001 WOS000274898600001.pdf 0960024575647258 |
url |
http://dx.doi.org/10.1155/2009/396267 http://hdl.handle.net/11449/42394 |
identifier_str_mv |
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 14, 2009. 1024-123X 10.1155/2009/396267 WOS:000274898600001 WOS000274898600001.pdf 0960024575647258 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematical Problems in Engineering 1.145 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
14 application/pdf |
dc.publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
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 |
|
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1803047307026890752 |