%0 Journal Article
%@ 0065-3438
%A Sanjurjo Rivo, Manuel
%A Scheeres, D.
%A Lara, M.
%A Peláez Álvarez, Jesús
%D 2014
%F upm:33435
%J Advances in the Astronautical Sciences
%P 3293-3304
%T Solution of optimal continuous low-thrust transfer using Lie transforms
%U https://oa.upm.es/33435/
%V 150
%X 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