Artificial satellites orbits in 2:1 resonance: GPS constellation

dc.contributor.authorSampaio, J. C.
dc.contributor.authorNeto, A. G. S.
dc.contributor.authorFernandes, S. S.
dc.contributor.authorVilhena de Moraes, R. [UNIFESP]
dc.contributor.authorTerra, M. O.
dc.contributor.institutionUNESP Univ Estadual Paulista
dc.contributor.institutionITA Inst Tecnol Aeronaut
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
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 B.V. 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 Universidade Federal de São Paulo, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUnifespUNIFESP Universidade Federal de São Paulo, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.sourceWeb of Science
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: 2009/00735-5
dc.description.sponsorshipIDFAPESP: 2006/04997-6
dc.description.sponsorshipIDCNPq: 300952/2008-2
dc.description.sponsorshipIDCNPq: 302949/2009-7
dc.identifier.citationActa Astronautica. Oxford: Pergamon-Elsevier B.V., v. 81, n. 2, p. 623-634, 2012.
dc.publisherElsevier B.V.
dc.relation.ispartofActa Astronautica
dc.rightsAcesso restrito
dc.subjectArtificial satellitesen
dc.titleArtificial satellites orbits in 2:1 resonance: GPS constellationen