title: Solution of optimal continuous low-thrust transfer using Lie transforms
creator: Sanjurjo Rivo, Manuel
creator: Scheeres, D.
creator: Lara, M.
creator: Peláez Álvarez, Jesús
subject: Astronomy 
subject: Aeronautics
description: 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
publisher: E.T.S.I. Aeronáuticos (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 2014
type: info:eu-repo/semantics/article
type: Article
source: Advances in the Astronautical Sciences, ISSN 0065-3438, 2014, Vol. 150
type: PeerReviewed
format: application/pdf
language: eng
rights: info:eu-repo/semantics/openAccess
identifier: https://oa.upm.es/33435/