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Dynamics of a gyrostat satellite subjected to the action of gravity moment. Equilibrium attitudes and their stability

2015-05-28Journal article Restricted access
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dc.contributor.authorGutnik, S.A.
dc.contributor.authorSantos, Luís
dc.contributor.authorSarychev, V. A.
dc.contributor.authorSilva, A. R. R.
dc.date.accessioned2018-05-21T08:50:30Z
dc.date.available2018-05-21T08:50:30Z
dc.date.issued2015-05-28
dc.description.abstractWe study the dynamics of the rotational motion of a gyrostat satellite moving in the central Newtonian force field along a circular orbit. We propose a method for determining the equilibrium attitudes (equilibrium orientations) of a gyrostat satellite in the orbital coordinate system for given values of the gyrostatic moment vector and principal central moments of inertia, and obtain their existence conditions. For each equilibrium orientation, sufficient conditions for stability are obtained using a generalized energy integral such as a Lyapunov function. We conduct a detailed numerical analysis of domains where the stability conditions for equilibrium attitudes are satisfied depending on four dimensionless parameters of the problem. It is shown that the number of equilibrium attitudes of a gyrostat satellite for which the sufficient conditions of stability are satisfied in the general case varies from four to two with an increase in the magnitude of a gyrostatic moment. The results obtained in this paper can be used for constructing gravitational systems of control over the orientation of the Earth’s artificial satellites.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationS. A. Gutnik, L. Santos, V. A. Sarychev, A. Silva. “Dynamics of gyrostat satellite subject to gravitational torque. Investigation of stability equilibria”, Journal of Computer and Systems Sciences International, Vol. 54, No.3, pp 469-482, 2015, DOI: 10.1134/S1064230715030107pt_PT
dc.identifier.doi10.1134/S1064230715030107pt_PT
dc.identifier.issn1064-2307
dc.identifier.issn1555-6530
dc.identifier.urihttp://hdl.handle.net/10400.6/4756
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherMAIK Nauka/Interperiodicapt_PT
dc.relation.publisherversionhttps://link.springer.com/article/10.1134%2FS1064230715030107pt_PT
dc.subjectPositionspt_PT
dc.subjectVectorpt_PT
dc.subjectReal Rootpt_PT
dc.subjectSystem Science Internationalpt_PT
dc.subjectDirection Cosinept_PT
dc.subjectStable Orientationpt_PT
dc.subjectAxisymmetric Casept_PT
dc.subjectLyapunov functionspt_PT
dc.subjectSatellitespt_PT
dc.subjectStabilitypt_PT
dc.subjectDimensionless Parameterspt_PT
dc.subjectEquilibrium Orientationspt_PT
dc.subjectExistence Conditionspt_PT
dc.subjectGravitational Systemspt_PT
dc.subjectGyrostat Satellitept_PT
dc.subjectOrbital Coordinate Systempt_PT
dc.subjectRotational Motionpt_PT
dc.subjectStability Conditionpt_PT
dc.subjectOrbitspt_PT
dc.titleDynamics of a gyrostat satellite subjected to the action of gravity moment. Equilibrium attitudes and their stabilitypt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FEMS%2F50022%2F2013/PT
oaire.citation.endPage482pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage469pt_PT
oaire.citation.titleIzvestia Rossiiskoi Akademii Nauk.Teoriya i Systemy Upravleniya / Journal of Computer and Systems Sciences Internationalpt_PT
oaire.citation.volume54pt_PT
oaire.fundingStream5876
person.familyNameGutnik
person.familyNameSantos
person.familyNameResende Rodrigues da Silva
person.givenNameSergey
person.givenNameLuis
person.givenNameAndré
person.identifierJ-4185-2012
person.identifier.ciencia-id6717-B0D3-0F5B
person.identifier.ciencia-id8219-4B2B-E1C7
person.identifier.orcid0000-0002-2598-1699
person.identifier.orcid0000-0002-7169-2660
person.identifier.orcid0000-0002-4901-7140
person.identifier.ridN-7368-2013
person.identifier.ridI-6614-2015
person.identifier.scopus-author-id12768907700
person.identifier.scopus-author-id11440407500
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctPolitica da revistapt_PT
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication58ad442e-76b5-4fe4-8cc4-0456573e5709
relation.isAuthorOfPublication908e150d-3890-457c-b5da-09c84671cb93
relation.isAuthorOfPublication.latestForDiscoverydc9a91f7-3140-4e75-9fd9-e2341ff46c23
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