@article{upm33435,
volume = {150},
title = {Solution of optimal continuous low-thrust transfer using Lie transforms},
pages = {3293--3304},
journal = {Advances in the Astronautical Sciences},
year = {2014},
abstract = {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 optimizaci{\'o}n de trayectorias de sat{\'e}lites impulsados por motores de bajo empuje},
issn = {0065-3438},
author = {Sanjurjo Rivo, Manuel and Scheeres, D. and Lara, M. and Pel{\'a}ez {\'A}lvarez, Jes{\'u}s},
url = {https://oa.upm.es/33435/}
}