RT Journal Article
SR 00
A1 Sanjurjo Rivo, Manuel
A1 Scheeres, D.
A1 Lara, M.
A1 Peláez Álvarez, Jesús
T1 Solution of optimal continuous low-thrust transfer using Lie transforms
JF Advances in the Astronautical Sciences
YR 2014
FD 2014
VO 150
SP 3293
OP 3304
AB This paper addresses the problem of optimal constant continuous low-thrust transfer in the context of the restricted two-body problem (R2BP). Using the Pontryagin’s principle, the problem is formulated as a two point boundary value problem (TPBVP) for a Hamiltonian system. Lie transforms obtained through the Deprit method allow us to obtain the canonical mapping of the phase flow as a series in terms of the order of magnitude of the thrust applied. The reachable set of states starting from a given initial condition using optimal control policy is obtained analytically. In addition, a particular optimal transfer can be computed as the solution of a non-linear algebraic equation. Se investiga el uso de series y transformadas de Lie en problemas de optimización de trayectorias de satélites impulsados por motores de bajo empuje
SN 0065-3438
LK https://oa.upm.es/33435/