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://hdl.handle.net/11449/231860 |
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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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.Grupo de Dinâmica Orbital e Planetologia UNESP, Guaratinguetá - SPInstituto Nacional de Pesquisas Espaciais -INPE, São José dos Campos - SPUniversidade Federal do Rio de Janeiro, UFRJ, Rio de Janeiro, - RJGrupo de Dinâmica Orbital e Planetologia UNESP, Guaratinguetá - SPUniversidade Estadual Paulista (UNESP)Instituto Nacional de Pesquisas Espaciais -INPEUniversidade Federal do Rio de Janeiro (UFRJ)De Moraes, Rodolpho Vilhena [UNESP]Cabette, Regina Elaine Santos [UNESP]Zanardi, Maria Cecília [UNESP]Stuchi, Teresinha J.2022-04-29T08:47:50Z2022-04-29T08:47:50Z2008-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2653-2668Advances in the Astronautical Sciences, v. 129 PART 3, p. 2653-2668.0065-3438http://hdl.handle.net/11449/2318602-s2.0-60349103406Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvances in the Astronautical Sciencesinfo:eu-repo/semantics/openAccess2024-07-02T14:29:48Zoai:repositorio.unesp.br:11449/231860Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:36:38.067363Repositório 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 [UNESP] |
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 [UNESP] |
author_facet |
De Moraes, Rodolpho Vilhena [UNESP] Cabette, Regina Elaine Santos [UNESP] Zanardi, Maria Cecília [UNESP] Stuchi, Teresinha J. |
author_role |
author |
author2 |
Cabette, Regina Elaine Santos [UNESP] Zanardi, Maria Cecília [UNESP] Stuchi, Teresinha J. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Instituto Nacional de Pesquisas Espaciais -INPE Universidade Federal do Rio de Janeiro (UFRJ) |
dc.contributor.author.fl_str_mv |
De Moraes, Rodolpho Vilhena [UNESP] Cabette, Regina Elaine Santos [UNESP] Zanardi, Maria Cecília [UNESP] 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 |
2008-12-01 2022-04-29T08:47:50Z 2022-04-29T08:47:50Z |
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. 129 PART 3, p. 2653-2668. 0065-3438 http://hdl.handle.net/11449/231860 2-s2.0-60349103406 |
identifier_str_mv |
Advances in the Astronautical Sciences, v. 129 PART 3, p. 2653-2668. 0065-3438 2-s2.0-60349103406 |
url |
http://hdl.handle.net/11449/231860 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Advances in the Astronautical Sciences |
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.source.none.fl_str_mv |
Scopus 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_ |
1808129340907454464 |