Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane

Detalhes bibliográficos
Autor(a) principal: Morais, Renato
Data de Publicação: 2022
Outros Autores: Santos, Luis, Silva, André, Melício, Rui
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12122
Resumo: In this paper, a gyrostat satellite in a circular orbit with its gyrostatic moment tangent to the orbital plane and collinear with the orbital speed is studied regarding its equilibria, bifurcation of equilibria, and asymptotic stability conditions. In the general case, where any gyrostat angular momentum is aligned with any of the orbital coordinate frames, interesting results arose regarding its equilibria bifurcation regarding conditions near to the ones presented in this paper, namely equilibria regions outside their main regions near to the orbital plane tangent. For equilibria and bifurcation of equilibria, a symbolic-numerical method is used to obtain the polynomial equations in function of non-dimensional parameters whose roots are equivalent to the number of equilibria positions. For the asymptotic stability, the results are tested using the Lyapunov stability theory scheme.
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spelling Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital planeAerospace DynamicsEquilibriumEquilibriumStabilisationBifurcation of EquilibriaIn this paper, a gyrostat satellite in a circular orbit with its gyrostatic moment tangent to the orbital plane and collinear with the orbital speed is studied regarding its equilibria, bifurcation of equilibria, and asymptotic stability conditions. In the general case, where any gyrostat angular momentum is aligned with any of the orbital coordinate frames, interesting results arose regarding its equilibria bifurcation regarding conditions near to the ones presented in this paper, namely equilibria regions outside their main regions near to the orbital plane tangent. For equilibria and bifurcation of equilibria, a symbolic-numerical method is used to obtain the polynomial equations in function of non-dimensional parameters whose roots are equivalent to the number of equilibria positions. For the asymptotic stability, the results are tested using the Lyapunov stability theory scheme.Fundação para a Ciência e a TecnologiaElsevier B. V.uBibliorumMorais, RenatoSantos, LuisSilva, AndréMelício, Rui2024-03-12T01:30:22Z2022-03-122022-03-12T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12122engR. H. Morais, L. F. F. M. Santos, A. R. R. Silva et al., Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane, Advances in Space Research, https://doi.org/10.1016/j.asr.2022.03.0040273-117710.1016/j.asr.2022.03.004info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-13T20:19:09Zoai:ubibliorum.ubi.pt:10400.6/12122Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:51:47.747430Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
title Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
spellingShingle Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
Morais, Renato
Aerospace Dynamics
Equilibrium
Equilibrium
Stabilisation
Bifurcation of Equilibria
title_short Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
title_full Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
title_fullStr Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
title_full_unstemmed Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
title_sort Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane
author Morais, Renato
author_facet Morais, Renato
Santos, Luis
Silva, André
Melício, Rui
author_role author
author2 Santos, Luis
Silva, André
Melício, Rui
author2_role author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Morais, Renato
Santos, Luis
Silva, André
Melício, Rui
dc.subject.por.fl_str_mv Aerospace Dynamics
Equilibrium
Equilibrium
Stabilisation
Bifurcation of Equilibria
topic Aerospace Dynamics
Equilibrium
Equilibrium
Stabilisation
Bifurcation of Equilibria
description In this paper, a gyrostat satellite in a circular orbit with its gyrostatic moment tangent to the orbital plane and collinear with the orbital speed is studied regarding its equilibria, bifurcation of equilibria, and asymptotic stability conditions. In the general case, where any gyrostat angular momentum is aligned with any of the orbital coordinate frames, interesting results arose regarding its equilibria bifurcation regarding conditions near to the ones presented in this paper, namely equilibria regions outside their main regions near to the orbital plane tangent. For equilibria and bifurcation of equilibria, a symbolic-numerical method is used to obtain the polynomial equations in function of non-dimensional parameters whose roots are equivalent to the number of equilibria positions. For the asymptotic stability, the results are tested using the Lyapunov stability theory scheme.
publishDate 2022
dc.date.none.fl_str_mv 2022-03-12
2022-03-12T00:00:00Z
2024-03-12T01:30:22Z
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.uri.fl_str_mv http://hdl.handle.net/10400.6/12122
url http://hdl.handle.net/10400.6/12122
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv R. H. Morais, L. F. F. M. Santos, A. R. R. Silva et al., Dynamics of a gyrostat satellite with the vector of gyrostatic moment tangent to the orbital plane, Advances in Space Research, https://doi.org/10.1016/j.asr.2022.03.004
0273-1177
10.1016/j.asr.2022.03.004
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B. V.
publisher.none.fl_str_mv Elsevier B. V.
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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