| Full text | |
| Author(s): |
Fernandes, Sandro da Silva
;
Carvalho, Francisco das Chagas
;
de Moraes, Rodolpho Vilhena
Total Authors: 3
|
| Document type: | Journal article |
| Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 35, n. 3, p. 14-pg., 2016-10-01. |
| Abstract | |
In this paper, a first-order analytical solution, which includes the short periodic terms, for the problem of optimal time-fixed low-thrust limited-power transfers (no rendezvous), in an inverse-square force field, between coplanar orbits with small eccentricities is obtained through canonical transformation theory. Short periodic terms are eliminated from the maximum Hamiltonian, expressed in non-singular orbital elements, through an infinitesimal canonical transformation built through the Hori method. Closed-form analytical solutions are obtained for the average canonical system by solving the Hamilton-Jacobi equation through the separation of variables technique. For long duration maneuvers, the existence of conjugate points is investigated through the Jacobi condition. (AU) | |
| FAPESP's process: | 12/21023-6 - Artificial satellite dynamics |
| Grantee: | Rodolpho Vilhena de Moraes |
| Support Opportunities: | Research Projects - Thematic Grants |