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An averaging method to study the motion of lunar artificial satellites I: Disturbing Function

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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.

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Authors and Affiliations

  1. Service des Calculs et de Mécanique Céleste duBureau des Longitudes, 77 Avenue Denfert Rochereau, 75014, Paris, France

    Daniel Steichen

  2. Département de Mathématique, Facultés universitaires de Namur, Rempart de la Vierge 8, 5000, Namur, Belgique

    Daniel Steichen

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  1. Daniel Steichen
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Steichen, D. An averaging method to study the motion of lunar artificial satellites I: Disturbing Function. Celestial Mechanics and Dynamical Astronomy 68, 205–224 (1998). https://doi.org/10.1023/A:1008279908543

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