The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance

Detalhes bibliográficos
Autor(a) principal: Sampaio, Jarbas Cordeiro [UNESP]
Data de Publicação: 2012
Outros Autores: de Moraes, Rodolpho Vilhena [UNESP], Fernandes, Sandro da Silva
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.
id UNSP_0125a8731f56e6bcc91606d250834b22
oai_identifier_str oai:repositorio.unesp.br:11449/9307
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling 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/openAccess2023-12-24T06:22:34Zoai:repositorio.unesp.br:11449/9307Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-24T06:22:34Repositório 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_ 1803047099763261440

Registros relacionados