Solution of optimal continuous low-thrust transfer using Lie transforms

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.

Description

Title: Solution of optimal continuous low-thrust transfer using Lie transforms
Author/s:
  • Sanjurjo Rivo, Manuel
  • Scheeres, D.
  • Lara, M.
  • Peláez Álvarez, Jesús
Item Type: Article
Título de Revista/Publicación: Advances in the Astronautical Sciences
Date: 2014
ISSN: 0065-3438
Volume: 150
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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

More information

Item ID: 33435
DC Identifier: http://oa.upm.es/33435/
OAI Identifier: oai:oa.upm.es:33435
Deposited by: Memoria Investigacion
Deposited on: 19 Jan 2015 17:25
Last Modified: 19 Jan 2015 17:25
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