eprintid: 33435
rev_number: 16
eprint_status: archive
userid: 1903
dir: disk0/00/03/34/35
datestamp: 2015-01-19 17:25:34
lastmod: 2015-01-19 17:25:34
status_changed: 2015-01-19 17:25:34
type: article
metadata_visibility: show
creators_name: Sanjurjo Rivo, Manuel
creators_name: Scheeres, D.
creators_name: Lara, M.
creators_name: Peláez Álvarez, Jesús
title: Solution of optimal continuous low-thrust transfer using Lie transforms
rights: by-nc-nd
ispublished: pub
subjects: astronomia
subjects: aeronautica
full_text_status: public
abstract: 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
date_type: published
date: 2014
publication: Advances in the Astronautical Sciences
volume: 150
pagerange: 3293-3304
institution: Aeronauticos
department: Fisica_2014
refereed: TRUE
issn: 0065-3438
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citation: Sanjurjo Rivo, Manuel and Scheeres, D. and Lara, M. and Peláez Álvarez, Jesús (2014). Solution of optimal continuous low-thrust transfer using Lie transforms. "Advances in the Astronautical Sciences", v. 150 ; pp. 3293-3304. ISSN 0065-3438.
document_url: https://oa.upm.es/33435/1/INVE_MEM_2014_182531.pdf