A semi-analytical approach to study resonances effects on the orbital motion of artificial satellites

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dc.contributor.authorVilhena De Moraes, R.
dc.contributor.authorSampaio, J. C. [UNESP]
dc.contributor.authorDa Silva Fernandes, S.
dc.contributor.authorFormiga, J. K.
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionFATEC
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionIEF
dc.contributor.institutionITA
dc.date.accessioned2022-04-28T18:59:49Z
dc.date.accessioned2020-12-10T16:55:17Z
dc.date.available2022-04-28T18:59:49Z
dc.date.available2020-12-10T16:55:17Z
dc.date.issued2013-01-01
dc.description.abstractA semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. 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. A semi-analytical approach is proposed to study resonances effects on the orbital motion of artificial satellites or space debris orbiting the Earth. Applying successive Mathieu transformations, the order of dynamical system is reduced and the final system is solved by numerical integration. In the simplified dynamical model, we can choose the resonance to be considered as critical angle. Simulations are presented showing the variations of the orbital elements of bodies orbiting in the neighbourhood of the 2:1, 14:1 and 15:1 resonance condition. 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.en
dc.description.affiliationUniv Fed Sao Paulo, ICT, Sao Paulo, Brazil
dc.description.affiliationUniv Estadual Paulista, DMA, Sao Paulo, Brazil
dc.description.affiliationITA, IEF, Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationFATEC, Sao Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, DMA, Sao Paulo, Brazil
dc.format.extent2773-2786
dc.identifier.citationAdvances in the Astronautical Sciences, v. 148, p. 2773-2786.
dc.identifier.citationSpaceflight Mechanics 2013, Pts I-iv. San Diego: Univelt Inc, v. 148, p. 2773-2786, 2013.
dc.identifier.issn0065-3438
dc.identifier.issn1081-6003
dc.identifier.scopus2-s2.0-84898832963
dc.identifier.urihttp://hdl.handle.net/11449/243898
dc.identifier.wosWOS:000377723700158
dc.language.isoeng
dc.publisherUnivelt Inc
dc.relation.ispartofAdvances in the Astronautical Sciences
dc.relation.ispartofSpaceflight Mechanics 2013, Pts I-iv
dc.sourceScopus
dc.sourceWeb of Science
dc.titleA semi-analytical approach to study resonances effects on the orbital motion of artificial satellitesen
dc.typeTrabalho apresentado em evento
dcterms.rightsHolderUnivelt Inc

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