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Solution of optimal continuous low-thrust transfer using Lie transforms
Solution of optimal continuous low-thrust transfer using Lie transforms (PDF)
Solution of optimal continuous low-thrust transfer using Lie transforms (Other)
Solution of optimal continuous low-thrust transfer using Lie transforms (Other)
Solution of optimal continuous low-thrust transfer using Lie transforms (Other)
Solution of optimal continuous low-thrust transfer using Lie transforms (Other)
Solution of optimal continuous low-thrust transfer using Lie transforms (Other)
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
150
2014
Solution of optimal continuous low-thrust transfer using Lie transforms
Aeronautics
Aeronáutica
Astronomy
Astronomía
Sanjurjo Rivo
Manuel
Manuel Sanjurjo Rivo
Scheeres
D.
D. Scheeres
Lara
M.
M. Lara
Peláez Álvarez
Jesús
Jesús Peláez Álvarez
00653438
Advances in the Astronautical Sciences