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dc.contributor.authorCarvalho, Francisco das Chagas
dc.contributor.authorFernandes, Sandro da Silva
dc.contributor.authorMoraes, Rodolpho Vilhena de [UNIFESP]
dc.identifier.citationComputational & Applied Mathematics. Heidelberg, v. 35, n. 3, p. 907-936, 2016.
dc.description.abstractA numerical study of optimal time-fixed low-thrust limited power transfers (no rendezvous), in an inverse-square force field, between coplanar orbits with small eccentricities is performed by means of two different approaches. The first approach uses a numerical method based on the second variation theory, usually known as neighboring extremals method, to solve the two-point boundary value problem obtained from the application of the Pontryagin Maximum Principle to the optimization problem formulated as a Mayer problem with the radial distance and the components of the velocity vector as state variables. The second approach is based on the solution of the two-point boundary value problem defined by a first-order analytical solution expressed in terms of non-singular orbital elements, which include short periodic terms, and derived through canonical transformations theory in a previous work. For transfers between close orbits, a simplified solution expressed by a linear system of algebraic equations is straightforwardly derived from this analytical first-order solution. In this case, the two-point boundary value problem can be solved by simple techniques. Numerical results are presented for transfers between circular orbits, considering several radius ratios and transfer durations. Some maneuvers involving orbits with arbitrary small eccentricities are also considered. The fuel consumption is taken as the performance criterion in comparison of the results.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.publisherSpringer Heidelberg
dc.relation.ispartofComputational & Applied Mathematics
dc.rightsAcesso restrito
dc.subjectOptimization of space trajectoriesen
dc.subjectLow-thrust limited power trajectoriesen
dc.subjectTransfers between coplanar orbits with small eccentricitiesen
dc.subjectNeighboring extremals methoden
dc.titleA numerical study for optimal low-thrust limited power transfers between coplanar orbits with small eccentricitiesen
dc.description.affiliationInst Tecnol Aeronaut, Dept Fis, BR-12228900 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationInst Tecnol Aeronaut, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUniv Fed Sao Paulo, Dept Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP, Brazil
dc.description.affiliationUnifespDepartamento de Ciência e Tecnologia, Universidade Federal de São Paulo, São José dos Campos, Brazil
dc.description.sponsorshipIDCNPq: 304913/2013-8
dc.description.sponsorshipIDFAPESP: 2012/21023-6
dc.description.sourceWeb of Science

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