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

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

Jul 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..68..205s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 68, Issue 3, pp.205-224

Astronomy and Astrophysics

Astronomy

3

Disturbing Function, Moon, Poincar&Eacute, Variables, Artificial Satellite, Closed Form

Scientific paper

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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