Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...294..278m&link_type=abstract
Astronomy and Astrophysics 294, 278-286 (1995)
Astronomy and Astrophysics
Astrophysics
7
Methods: Analytical, Celestial Mechanics
Scientific paper
We have developed a semi-analytical theory based on the concept of filtered elements permitting the exact separation between short period and long period variations of the orbital motion. We have studied this concept and the one associated of mean orbital motion in a more comprehensive way than has been done so far. The purpose of this paper is to show the complete description of the method of resolution, and to give a first application to main gravitational perturbations: a central potential and a third body. The characteristics of the method concern the use of an analytical filtering procedure based on Lie transforms, and of a numerical integration of the orbit-averaged perturbations. Comparisons with the classical numerical integration of the full motion equations is not directly possible. For this purpose, a specific procedure has been developed which consists in applying a filtering to osculating elements. Finally, we present the result of tests in various dynamical configurations. The accuracy of the theory is estimated to lie from few centimeters to few meters on time spans covering several revolutions of the node and of the perigee.
Exertier Pierre
Métris Gilles
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