Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites
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Date
2009
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Impact
Abstract
Frozen orbits of the Hill problem are determined in the double-averaged problem, where short and long-period terms are removed by means of Lie transforms. Due to the perturbation method we use, the initial conditions of corresponding quasi-periodic solutions in the nonaveraged problem are computed straightforwardly. Moreover, the method provides the explicit equations of the transformation t ...
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Subject
Science orbits,
Asteroids,
Perturbations,
Dynamics
Publisher
Hindawi Publishing Corporation
Published in
Mathematical Problems in Engineering, 2009. Article ID 753653, 18 pgs.
Description
Parte de este trabajo ha sido presentado en el 20th International Symposium on
Space Flight Dynamics, Annapolis, Maryland, USA, 24–28 de septiembre de 2007.
Departament
Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática /
Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
Publisher version
Sponsorship
This work was supported from Projects ESP 2007-64068 the first author and MTM 2008-03818 the second author of the Ministry of Science and Innovation of Spain is acknowledged.
Appears in Collections
Items in Academica-e are protected by copyright with all rights reserved, unless otherwise noted.
Except where otherwise noted, this item's license is described as © 2009 Martin Lara and Jesús F. Palacián. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
