A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/243898 |
Resumo: | A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. |
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Repositório Institucional da UNESP |
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A semi-analytical approach to study resonances effects on the orbital motion of artificial satellitesA semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle.Univ Fed Sao Paulo, ICT, Sao Paulo, BrazilUniv Estadual Paulista, DMA, Sao Paulo, BrazilITA, IEF, Sao Jose Dos Campos, SP, BrazilFATEC, Sao Paulo, BrazilUniv Estadual Paulista, DMA, Sao Paulo, BrazilUnivelt IncUniversidade Federal de São Paulo (UNIFESP)FATECUniversidade Estadual Paulista (Unesp)IEFITAVilhena De Moraes, R.Sampaio, J. C. [UNESP]Da Silva Fernandes, S.Formiga, J. K.2022-04-28T18:59:49Z2020-12-10T16:55:17Z2022-04-28T18:59:49Z2020-12-10T16:55:17Z2013-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2773-2786Advances in the Astronautical Sciences, v. 148, p. 2773-2786.Spaceflight Mechanics 2013, Pts I-iv. San Diego: Univelt Inc, v. 148, p. 2773-2786, 2013.0065-34381081-6003http://hdl.handle.net/11449/243898WOS:0003777237001582-s2.0-84898832963ScopusWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvances in the Astronautical SciencesSpaceflight Mechanics 2013, Pts I-ivinfo:eu-repo/semantics/openAccess2023-06-06T15:16:14Zoai:repositorio.unesp.br:11449/243898Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:16:34.667022Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
title |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
spellingShingle |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites Vilhena De Moraes, R. |
title_short |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
title_full |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
title_fullStr |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
title_full_unstemmed |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
title_sort |
A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites |
author |
Vilhena De Moraes, R. |
author_facet |
Vilhena De Moraes, R. Sampaio, J. C. [UNESP] Da Silva Fernandes, S. Formiga, J. K. |
author_role |
author |
author2 |
Sampaio, J. C. [UNESP] Da Silva Fernandes, S. Formiga, J. K. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de São Paulo (UNIFESP) FATEC Universidade Estadual Paulista (Unesp) IEF ITA |
dc.contributor.author.fl_str_mv |
Vilhena De Moraes, R. Sampaio, J. C. [UNESP] Da Silva Fernandes, S. Formiga, J. K. |
description |
A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-01-01 2020-12-10T16:55:17Z 2020-12-10T16:55:17Z 2022-04-28T18:59:49Z 2022-04-28T18:59:49Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
Advances in the Astronautical Sciences, v. 148, p. 2773-2786. Spaceflight Mechanics 2013, Pts I-iv. San Diego: Univelt Inc, v. 148, p. 2773-2786, 2013. 0065-3438 1081-6003 http://hdl.handle.net/11449/243898 WOS:000377723700158 2-s2.0-84898832963 |
identifier_str_mv |
Advances in the Astronautical Sciences, v. 148, p. 2773-2786. Spaceflight Mechanics 2013, Pts I-iv. San Diego: Univelt Inc, v. 148, p. 2773-2786, 2013. 0065-3438 1081-6003 WOS:000377723700158 2-s2.0-84898832963 |
url |
http://hdl.handle.net/11449/243898 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Advances in the Astronautical Sciences Spaceflight Mechanics 2013, Pts I-iv |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2773-2786 |
dc.publisher.none.fl_str_mv |
Univelt Inc |
publisher.none.fl_str_mv |
Univelt Inc |
dc.source.none.fl_str_mv |
Scopus 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_ |
1808129181725229056 |