Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis

Detalhes bibliográficos
Autor(a) principal: Sarychev, Vasili
Data de Publicação: 2013
Outros Autores: Gutnik, S. A., Silva, André, Santos, Luís
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/11548
Resumo: Dynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is investigated. A symbolic-numerical method for determining of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. For each equilibrium orientation sufficient conditions of stability are obtained as a result of analysis of generalized energy integral used as Lyapunov’ function. Investigation of domains where stability conditions take place is provided in detail depending on four dimensionless parameters of the problem. It is shown that the number of stable equilibria of the gyrostat satellite in general case changes from 8 to 4 with the increasing the absolute value of gyrostatic torque.
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spelling Dynamics of gyrostat satellite subject to gravitational torque: Stability analysisGyrostat satelliteGravitational torqueEquilibriaStabilityDynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is investigated. A symbolic-numerical method for determining of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. For each equilibrium orientation sufficient conditions of stability are obtained as a result of analysis of generalized energy integral used as Lyapunov’ function. Investigation of domains where stability conditions take place is provided in detail depending on four dimensionless parameters of the problem. It is shown that the number of stable equilibria of the gyrostat satellite in general case changes from 8 to 4 with the increasing the absolute value of gyrostatic torque.Исследована динамика спутника-гиростата, движущегося в центральном ньютоновом силовом поле по круговой орбите. Предложен метод определения всех положений равновесия спутника-гиростата в орбитальной системе координат при заданных значениях вектора гиростатического момента и главных центральных моментов инерции, получены условия их существования. Для каждой равновесной ориентации получены достаточные условия устойчивости с использованием в качестве функции Ляпунова обобщенного интеграла энергии. Проведен детальный численный анализ областей выполнения условий устойчивости положений равновесия в зависимости от четырех безразмерных параметров задачи. Показано, что число положений равновесия спутника-гиростата, для которых выполняются достаточные условия устойчивости, в общем случае изменяется при возрастании величины модуля гиростатического момента от 4 до 2.Fundação para a Ciência e a TecnologiaKeldysh Institute preprintsuBibliorumSarychev, VasiliGutnik, S. A.Silva, AndréSantos, Luís2022-01-04T10:38:10Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/11548engSarychev V.A., Gutnik S.A., Silva A., Santos L. Dynamics of gyrostat satellite subject to gravitational torque. Stability analysis. Keldysh Institute preprints, 2013, No. 25, 36 p2071-2898info: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:RCAAP2023-12-15T09:54:07Zoai:ubibliorum.ubi.pt:10400.6/11548Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:51:18.920445Repositório 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 gyrostat satellite subject to gravitational torque: Stability analysis
title Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
spellingShingle Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
Sarychev, Vasili
Gyrostat satellite
Gravitational torque
Equilibria
Stability
title_short Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
title_full Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
title_fullStr Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
title_full_unstemmed Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
title_sort Dynamics of gyrostat satellite subject to gravitational torque: Stability analysis
author Sarychev, Vasili
author_facet Sarychev, Vasili
Gutnik, S. A.
Silva, André
Santos, Luís
author_role author
author2 Gutnik, S. A.
Silva, André
Santos, Luís
author2_role author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Sarychev, Vasili
Gutnik, S. A.
Silva, André
Santos, Luís
dc.subject.por.fl_str_mv Gyrostat satellite
Gravitational torque
Equilibria
Stability
topic Gyrostat satellite
Gravitational torque
Equilibria
Stability
description Dynamics of gyrostat satellite moving along a circular orbit in the central Newtonian gravitational field is investigated. A symbolic-numerical method for determining of all equilibrium orientations of gyrostat satellite in the orbital coordinate system with given gyrostatic torque and given principal central moments of inertia is proposed. For each equilibrium orientation sufficient conditions of stability are obtained as a result of analysis of generalized energy integral used as Lyapunov’ function. Investigation of domains where stability conditions take place is provided in detail depending on four dimensionless parameters of the problem. It is shown that the number of stable equilibria of the gyrostat satellite in general case changes from 8 to 4 with the increasing the absolute value of gyrostatic torque.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2022-01-04T10:38:10Z
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/10400.6/11548
url http://hdl.handle.net/10400.6/11548
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Sarychev V.A., Gutnik S.A., Silva A., Santos L. Dynamics of gyrostat satellite subject to gravitational torque. Stability analysis. Keldysh Institute preprints, 2013, No. 25, 36 p
2071-2898
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 Keldysh Institute preprints
publisher.none.fl_str_mv Keldysh Institute preprints
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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