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Solution of optimal continuous low-thrust transfer using Lie transforms
Sanjurjo Rivo, Manuel and Scheeres, D. and Lara, M. and Peláez Álvarez, Jesús
Solution of optimal continuous low-thrust transfer using Lie transforms.
"Advances in the Astronautical Sciences", v. 150
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
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