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

Detalhes bibliográficos
Autor(a) principal: Sampaio, Jarbas Cordeiro
Data de Publicação: 2012
Outros Autores: Moraes, Rodolpho Vilhena de [UNIFESP], Fernandes, Sandro da Silva
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: http://repositorio.unifesp.br/handle/11600/34371
http://dx.doi.org/10.1155/2012/405870
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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spelling Sampaio, Jarbas CordeiroMoraes, Rodolpho Vilhena de [UNIFESP]Fernandes, Sandro da SilvaUniv Estadual PaulistaUniversidade Federal de São Paulo (UNIFESP)ITA2016-01-24T14:17:37Z2016-01-24T14:17:37Z2012-01-01Mathematical Problems in Engineering. New York: Hindawi Publishing Corporation, 22 p., 2012.1024-123Xhttp://repositorio.unifesp.br/handle/11600/34371http://dx.doi.org/10.1155/2012/405870WOS000299533000001.pdf10.1155/2012/405870WOS:000299533000001The 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, BrazilUniversidade Federal de São Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, BrazilITA, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP, BrazilUniversidade Federal de São Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, BrazilFAPESP: 2009/00735-5FAPESP: 2006/04997-6CNPq: 300952/2008-2CNPq: 302949/2009-7Web of Science22engHindawi Publishing CorporationMathematical Problems in EngineeringThe Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonanceinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPORIGINALWOS000299533000001.pdfapplication/pdf4005478${dspace.ui.url}/bitstream/11600/34371/1/WOS000299533000001.pdf3361fccf122bc9bccad305ae59bb77f1MD51open accessTEXTWOS000299533000001.pdf.txtWOS000299533000001.pdf.txtExtracted texttext/plain39047${dspace.ui.url}/bitstream/11600/34371/9/WOS000299533000001.pdf.txt563c7b4dd0e001dcec64e8b60886e978MD59open accessTHUMBNAILWOS000299533000001.pdf.jpgWOS000299533000001.pdf.jpgIM Thumbnailimage/jpeg5454${dspace.ui.url}/bitstream/11600/34371/11/WOS000299533000001.pdf.jpg13bb3d3624779f21371a0e23e57eb850MD511open access11600/343712023-06-05 19:06:53.774open accessoai:repositorio.unifesp.br:11600/34371Repositório InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestopendoar:34652023-06-05T22:06:53Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false
dc.title.en.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
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
author_facet Sampaio, Jarbas Cordeiro
Moraes, Rodolpho Vilhena de [UNIFESP]
Fernandes, Sandro da Silva
author_role author
author2 Moraes, Rodolpho Vilhena de [UNIFESP]
Fernandes, Sandro da Silva
author2_role author
author
dc.contributor.institution.none.fl_str_mv Univ Estadual Paulista
Universidade Federal de São Paulo (UNIFESP)
ITA
dc.contributor.author.fl_str_mv Sampaio, Jarbas Cordeiro
Moraes, Rodolpho Vilhena de [UNIFESP]
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.issued.fl_str_mv 2012-01-01
dc.date.accessioned.fl_str_mv 2016-01-24T14:17:37Z
dc.date.available.fl_str_mv 2016-01-24T14:17:37Z
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.citation.fl_str_mv Mathematical Problems in Engineering. New York: Hindawi Publishing Corporation, 22 p., 2012.
dc.identifier.uri.fl_str_mv http://repositorio.unifesp.br/handle/11600/34371
http://dx.doi.org/10.1155/2012/405870
dc.identifier.issn.none.fl_str_mv 1024-123X
dc.identifier.file.none.fl_str_mv WOS000299533000001.pdf
dc.identifier.doi.none.fl_str_mv 10.1155/2012/405870
dc.identifier.wos.none.fl_str_mv WOS:000299533000001
identifier_str_mv Mathematical Problems in Engineering. New York: Hindawi Publishing Corporation, 22 p., 2012.
1024-123X
WOS000299533000001.pdf
10.1155/2012/405870
WOS:000299533000001
url http://repositorio.unifesp.br/handle/11600/34371
http://dx.doi.org/10.1155/2012/405870
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dc.relation.ispartof.none.fl_str_mv Mathematical Problems in Engineering
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publisher.none.fl_str_mv Hindawi Publishing Corporation
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collection Repositório Institucional da UNIFESP
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