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Sanjurjo Rivo
Manuel

Scheeres
D.

Lara
M.

Peláez Álvarez
Jesús
Solution of optimal continuous lowthrust transfer using Lie transforms
byncnd
pub
 astronomia
 aeronautica
public
This paper addresses the problem of optimal constant continuous lowthrust transfer in the context of the restricted twobody 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 nonlinear 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
published
2014
Advances in the Astronautical Sciences
150
32933304
Aeronauticos
Fisica_2014
TRUE
00653438
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