A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS

Autor(es)

Fernandes, Sandro da Silva ^[1] ; Carvalho, Francisco das Chagas ^[1] ; Batch Romao, Joao Victor ^[2]

Afiliação do(s) autor(es)

^[1] Inst Tecnol Aeronaut, Dept Matemat, Sao Jose Dos Campos - Brazil

^[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA; v. 54, n. 1, p. 111-128, APR 2018.
• Citações Web of Science: 0

Resumo

A numerical-analytical procedure based on infinitesimal canonical transformations is developed for computing optimal time-fixed low-thrust limited power transfers (no rendezvous) between coplanar orbits with small eccentricities in an inverse-square force field. The optimization problem is formulated as a Mayer problem with a set of non-singular orbital elements as state variables. Second order terms in eccentricity are considered in the development of the maximum Hamiltonian describing the optimal trajectories. The two-point boundary value problem of going from an initial orbit to a final orbit is solved by means of a two-stage Newton-Raphson algorithm which uses an infinitesimal canonical transformation. Numerical results are presented for some transfers between circular orbits with moderate radius ratio, including a preliminary analysis of Earth-Mars and Earth-Venus missions. (AU)

• Processo FAPESP: 12/21023-6 - Dinâmica de satélites artificiais
• Beneficiário: Rodolpho Vilhena de Moraes
• Modalidade de apoio: Auxílio à Pesquisa - Temático