Artificial satellites orbits in 2:1 resonance: GPS constellation

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dc.contributor.authorSampaio, J. C. [UNESP]
dc.contributor.authorNeto, A. G. S.
dc.contributor.authorFernandes, S. S.
dc.contributor.authorVilhena de Moraes, R.
dc.contributor.authorTerra, M. O.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Tecnológico de Aeronáutica (ITA)
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.date.accessioned2014-05-20T13:27:58Z
dc.date.available2014-05-20T13:27:58Z
dc.date.issued2012-12-01
dc.description.abstractIn this work, the resonance problem in the artificial satellites motion is studied. The development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an averaging procedure and successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, three critical angles are studied. The half-width of the separatrix is calculated through a linearized model which describes the behavior of the dynamical system in a neighborhood of each critical angle. Through the resonance overlap criterion the possible regular and irregular motions are investigated by the time behavior of the semi-major axis, argument of perigee and eccentricity. The largest Lyapunov exponent is used as tool to verify the chaotic motion. (C) 2012 Elsevier Ltd. All rights reserved.en
dc.description.affiliationUNESP Univ Estadual Paulista, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationITA Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUNIFESP Univ Fed São Paulo, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUnespUNESP Univ Estadual Paulista, BR-12516410 Guaratingueta, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFAPESP: 09/00735-5
dc.description.sponsorshipIdFAPESP: 06/04997-6
dc.description.sponsorshipIdCNPq: 300952/2008-2
dc.description.sponsorshipIdCNPq: 302949/2009-7
dc.format.extent623-634
dc.identifierhttp://dx.doi.org/10.1016/j.actaastro.2012.08.025
dc.identifier.citationActa Astronautica. Oxford: Pergamon-Elsevier B.V. Ltd, v. 81, n. 2, p. 623-634, 2012.
dc.identifier.doi10.1016/j.actaastro.2012.08.025
dc.identifier.issn0094-5765
dc.identifier.urihttp://hdl.handle.net/11449/9280
dc.identifier.wosWOS:000311467200024
dc.language.isoeng
dc.publisherPergamon-Elsevier B.V. Ltd
dc.relation.ispartofActa Astronautica
dc.relation.ispartofjcr2.227
dc.relation.ispartofsjr0,758
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectArtificial satellitesen
dc.subjectResonanceen
dc.subjectOrbitsen
dc.titleArtificial satellites orbits in 2:1 resonance: GPS constellationen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderPergamon-Elsevier B.V. Ltd

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