2015-01-19T17:25:34Z2015-01-19T17:25:34Zhttps://oa.upm.es/id/eprint/33435This item is in the repository with the URL: https://oa.upm.es/id/eprint/334352015-01-19T17:25:34ZSolution of optimal continuous low-thrust transfer using Lie transformsThis 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 empujeManuel Sanjurjo RivoD. ScheeresM. LaraJesús Peláez Álvarez