Stability analysis of the attitude of artificial satellites subject to gravity gradient torque
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://www.univelt.com/book=1920 http://hdl.handle.net/11449/39809 |
Resumo: | Using a canonical formulation, the stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque. Here Andoyer's variables are used to describe the rotational motion. One of the approaches that allow the analysis of the stability of Hamiltonian systems needs the reduction of the Hamiltonian to a normal form. Firstly equilibrium points are found. Using generalized coordinates, the Hamiltonian is expanded in the neighborhood of the linearly stable equilibrium points. In a next step a canonical linear transformation is used to diagonalize the matrix associated to the linear part of the system. The quadratic part of the Hamiltonian is normalized. Based in a Lie-Hori algorithm a semi-analytic process for normalization is applied and the Hamiltonian is normalized up to the fourth order. Once the Hamiltonian is normalized up to order four, the analysis of stability of the equilibrium point is performed using the theorem of Kovalev and Savichenko. This semi-analytical approach was applied considering some data sets of hypothetical satellites. For the considered satellites it was observed few cases of stable motion. This work contributes for space missions where the maintenance of spacecraft attitude stability is required. |
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Repositório Institucional da UNESP |
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Stability analysis of the attitude of artificial satellites subject to gravity gradient torqueUsing a canonical formulation, the stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque. Here Andoyer's variables are used to describe the rotational motion. One of the approaches that allow the analysis of the stability of Hamiltonian systems needs the reduction of the Hamiltonian to a normal form. Firstly equilibrium points are found. Using generalized coordinates, the Hamiltonian is expanded in the neighborhood of the linearly stable equilibrium points. In a next step a canonical linear transformation is used to diagonalize the matrix associated to the linear part of the system. The quadratic part of the Hamiltonian is normalized. Based in a Lie-Hori algorithm a semi-analytic process for normalization is applied and the Hamiltonian is normalized up to the fourth order. Once the Hamiltonian is normalized up to order four, the analysis of stability of the equilibrium point is performed using the theorem of Kovalev and Savichenko. This semi-analytical approach was applied considering some data sets of hypothetical satellites. For the considered satellites it was observed few cases of stable motion. This work contributes for space missions where the maintenance of spacecraft attitude stability is required.UNESP, Grp Dinam Orbital & Planetol, Guaratingueta, SP, BrazilUNESP, Grp Dinam Orbital & Planetol, Guaratingueta, SP, BrazilUnivelt IncUniversidade Estadual Paulista (Unesp)de Moraes, Rodolpho VilhenaCabette, Regina Elaine SantosZanardi, Maria CeciliaStuchi, Teresinha J.2014-05-20T15:30:25Z2014-05-20T15:30:25Z2008-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2653-2668http://www.univelt.com/book=1920Astrodynamics 2007, Pts I-iii. San Diego: Univelt Inc, v. 129, p. 2653-2668, 2008.1081-6003http://hdl.handle.net/11449/39809WOS:00025727290204077409171447574100000-0003-1289-8332Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAstrodynamics 2007, Pts I-iiiinfo:eu-repo/semantics/openAccess2021-10-23T08:05:16Zoai:repositorio.unesp.br:11449/39809Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T08:05:16Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
title |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
spellingShingle |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque de Moraes, Rodolpho Vilhena |
title_short |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
title_full |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
title_fullStr |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
title_full_unstemmed |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
title_sort |
Stability analysis of the attitude of artificial satellites subject to gravity gradient torque |
author |
de Moraes, Rodolpho Vilhena |
author_facet |
de Moraes, Rodolpho Vilhena Cabette, Regina Elaine Santos Zanardi, Maria Cecilia Stuchi, Teresinha J. |
author_role |
author |
author2 |
Cabette, Regina Elaine Santos Zanardi, Maria Cecilia Stuchi, Teresinha J. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
de Moraes, Rodolpho Vilhena Cabette, Regina Elaine Santos Zanardi, Maria Cecilia Stuchi, Teresinha J. |
description |
Using a canonical formulation, the stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque. Here Andoyer's variables are used to describe the rotational motion. One of the approaches that allow the analysis of the stability of Hamiltonian systems needs the reduction of the Hamiltonian to a normal form. Firstly equilibrium points are found. Using generalized coordinates, the Hamiltonian is expanded in the neighborhood of the linearly stable equilibrium points. In a next step a canonical linear transformation is used to diagonalize the matrix associated to the linear part of the system. The quadratic part of the Hamiltonian is normalized. Based in a Lie-Hori algorithm a semi-analytic process for normalization is applied and the Hamiltonian is normalized up to the fourth order. Once the Hamiltonian is normalized up to order four, the analysis of stability of the equilibrium point is performed using the theorem of Kovalev and Savichenko. This semi-analytical approach was applied considering some data sets of hypothetical satellites. For the considered satellites it was observed few cases of stable motion. This work contributes for space missions where the maintenance of spacecraft attitude stability is required. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-01-01 2014-05-20T15:30:25Z 2014-05-20T15:30:25Z |
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 |
http://www.univelt.com/book=1920 Astrodynamics 2007, Pts I-iii. San Diego: Univelt Inc, v. 129, p. 2653-2668, 2008. 1081-6003 http://hdl.handle.net/11449/39809 WOS:000257272902040 7740917144757410 0000-0003-1289-8332 |
url |
http://www.univelt.com/book=1920 http://hdl.handle.net/11449/39809 |
identifier_str_mv |
Astrodynamics 2007, Pts I-iii. San Diego: Univelt Inc, v. 129, p. 2653-2668, 2008. 1081-6003 WOS:000257272902040 7740917144757410 0000-0003-1289-8332 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Astrodynamics 2007, Pts I-iii |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2653-2668 |
dc.publisher.none.fl_str_mv |
Univelt Inc |
publisher.none.fl_str_mv |
Univelt Inc |
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_ |
1803046462753341440 |