| Author(s): |
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 Opportunities: | Research Projects - Thematic Grants |