An averaging method to study the motion of lunar artificial satellites I: Disturbing Function |
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| Authors: | Daniel Steichen |
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| Institution: | (1) Service des Calculs et de Mécanique Céleste duBureau des Longitudes, 77 Avenue Denfert Rochereau, 75014 Paris, France;(2) Département de Mathématique, Facultés universitaires de Namur, Rempart de la Vierge 8, 5000 Namur, Belgique |
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| Abstract: | We describe a semi-analytical averaging method aimed at the computation of the motion of an artificial satellite of the Moon.
In this paper, the first of the two part study, we expand the disturbing function with respect to the small parameters. In
particular, a semi-analytic theory of the motion of the Moon around the Earth and the libration of the lunar equatorial plane
using different reference frames are introduced. The second part of this article shows that the choice of the canonical Poincaré
variables lead to equations in closed form without singularities in e = 0 or I = 0. We introduce new expressions that are
sufficiently compact to be used for the study of any artificial satellite.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | disturbing function Moon Poincaré variables artificial satellite closed form |
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