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 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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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 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.none.fl_str_mv |
Mathematical Problems in Engineering |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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22 |
dc.publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
publisher.none.fl_str_mv |
Hindawi Publishing Corporation |
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Universidade Federal de São Paulo (UNIFESP) |
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Repositório Institucional da UNIFESP |
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