Comparison between Two Methods to Calculate the Transition Matrix of Orbit Motion

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dc.contributor.authorMarins Chiaradia, Ana Paula [UNESP]
dc.contributor.authorKuga, Helio Koiti
dc.contributor.authorBertachini de Almeida Prado, Antonio Fernando
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionInstituto Nacional de Pesquisas Espaciais (INPE)
dc.date.accessioned2014-05-20T13:28:22Z
dc.date.available2014-05-20T13:28:22Z
dc.date.issued2012-01-01
dc.description.abstractTwo methods to evaluate the state transition matrix are implemented and analyzed to verify the computational cost and the accuracy of both methods. This evaluation represents one of the highest computational costs on the artificial satellite orbit determination task. The first method is an approximation of the Keplerian motion, providing an analytical solution which is then calculated numerically by solving Kepler's equation. The second one is a local numerical approximation that includes the effect of J(2). The analysis is performed comparing these two methods with a reference generated by a numerical integrator. For small intervals of time (1 to 10s) and when one needs more accuracy, it is recommended to use the second method, since the CPU time does not excessively overload the computer during the orbit determination procedure. For larger intervals of time and when one expects more stability on the calculation, it is recommended to use the first method.en
dc.description.affiliationFEG UNESP, Grp Dinam Orbital & Planetol, Dept Math, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationDEM INPE, BR-12227010 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUnespFEG UNESP, Grp Dinam Orbital & Planetol, Dept Math, BR-12516410 Guaratingueta, SP, Brazil
dc.description.sponsorshipUNESP (Universidade Estadual Paulista Julio de Mesquita Filho) of Brazil
dc.description.sponsorshipINPE (Brazilian Institute for Space Research)
dc.format.extent12
dc.identifierhttp://dx.doi.org/10.1155/2012/768973
dc.identifier.citationMathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 12, 2012.
dc.identifier.doi10.1155/2012/768973
dc.identifier.fileWOS000298629200001.pdf
dc.identifier.issn1024-123X
dc.identifier.lattes5651353474953307
dc.identifier.urihttp://hdl.handle.net/11449/9438
dc.identifier.wosWOS:000298629200001
dc.language.isoeng
dc.publisherHindawi Publishing Corporation
dc.relation.ispartofMathematical Problems in Engineering
dc.relation.ispartofjcr1.145
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.titleComparison between Two Methods to Calculate the Transition Matrix of Orbit Motionen
dc.typeArtigo
dcterms.licensehttp://www.hindawi.com/journals/apm/apc/
dcterms.rightsHolderHindawi Publishing Corporation
unesp.author.lattes5651353474953307[1]
unesp.author.orcid0000-0002-7941-8666[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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Artigos - Matemática - FEG