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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Author(s):
Fernandes, Sandro da Silva [1] ; Carvalho, Francisco das Chagas [1] ; Batch Romao, Joao Victor [2]
Total Authors: 3
Affiliation:
[1] Inst Tecnol Aeronaut, Dept Matemat, Sao Jose Dos Campos - Brazil
[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA; v. 54, n. 1, p. 111-128, APR 2018.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 12/21023-6 - Artificial satellite dynamics
Grantee:Rodolpho Vilhena de Moraes
Support type: Research Projects - Thematic Grants