The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1155/2012/405870 http://hdl.handle.net/11449/9307 |
Resumo: | The orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42) are considered. The order of the dynamical system is reduced through successive Mathieu transformations, and the final system is solved by numerical integration. The Lyapunov exponents are used as tool to analyze the chaotic orbits. |
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Repositório Institucional da UNESP |
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The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 ResonanceThe orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42) are considered. The order of the dynamical system is reduced through successive Mathieu transformations, and the final system is solved by numerical integration. The Lyapunov exponents are used as tool to analyze the chaotic orbits.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)SP BrazilConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Dept Matemat, BR-12516410 Guaratingueta, SP, BrazilUniv Fed São Paulo, Inst Ciência & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, BrazilITA, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP, BrazilUniv Estadual Paulista, Dept Matemat, BR-12516410 Guaratingueta, SP, BrazilFAPESP: 09/00735-5FAPESP: 06/04997-6CNPq: 300952/2008-2CNPq: 302949/2009-7Hindawi Publishing CorporationUniversidade Estadual Paulista (Unesp)Universidade Federal de São Paulo (UNIFESP)ITASampaio, Jarbas Cordeiro [UNESP]de Moraes, Rodolpho Vilhena [UNESP]Fernandes, Sandro da Silva2014-05-20T13:28:05Z2014-05-20T13:28:05Z2012-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article22application/pdfhttp://dx.doi.org/10.1155/2012/405870Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 22, 2012.1024-123Xhttp://hdl.handle.net/11449/930710.1155/2012/405870WOS:000299533000001WOS000299533000001.pdf77409171447574100000-0003-1289-8332Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematical Problems in Engineering1.145info:eu-repo/semantics/openAccess2024-07-02T14:29:21Zoai:repositorio.unesp.br:11449/9307Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:11:59.934301Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
title |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
spellingShingle |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance Sampaio, Jarbas Cordeiro [UNESP] |
title_short |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
title_full |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
title_fullStr |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
title_full_unstemmed |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
title_sort |
The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance |
author |
Sampaio, Jarbas Cordeiro [UNESP] |
author_facet |
Sampaio, Jarbas Cordeiro [UNESP] de Moraes, Rodolpho Vilhena [UNESP] Fernandes, Sandro da Silva |
author_role |
author |
author2 |
de Moraes, Rodolpho Vilhena [UNESP] Fernandes, Sandro da Silva |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade Federal de São Paulo (UNIFESP) ITA |
dc.contributor.author.fl_str_mv |
Sampaio, Jarbas Cordeiro [UNESP] de Moraes, Rodolpho Vilhena [UNESP] Fernandes, Sandro da Silva |
description |
The orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42) are considered. The order of the dynamical system is reduced through successive Mathieu transformations, and the final system is solved by numerical integration. The Lyapunov exponents are used as tool to analyze the chaotic orbits. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-01-01 2014-05-20T13:28:05Z 2014-05-20T13:28:05Z |
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/10.1155/2012/405870 Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 22, 2012. 1024-123X http://hdl.handle.net/11449/9307 10.1155/2012/405870 WOS:000299533000001 WOS000299533000001.pdf 7740917144757410 0000-0003-1289-8332 |
url |
http://dx.doi.org/10.1155/2012/405870 http://hdl.handle.net/11449/9307 |
identifier_str_mv |
Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 22, 2012. 1024-123X 10.1155/2012/405870 WOS:000299533000001 WOS000299533000001.pdf 7740917144757410 0000-0003-1289-8332 |
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 |
22 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 |
|
_version_ |
1808129297695637504 |