Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57..175m&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 175-188
Astronomy and Astrophysics
Astronomy
4
Gravitational Fields, Long Term Effects, Orbital Resonances (Celestial Mechanics), Periodic Variations, Planetary Orbits, Satellite Orbits, Satellite Perturbation, Tesseral Harmonics, Earth (Planet), Eccentricity, Geodetic Satellites, Mars (Planet), Phobos
Scientific paper
The main effects of tesseral harmonics of a gravity potential expansion on the motion of a satellite, are short period variations as well as long period variations due to resonances. However, other smaller long period and secular variations can arise from interactions between tesseral terms of the same order. The analytical integration of these effects is developed, using numerical evaluation of Kaula eccentricity and inclination functions. Examples for some Earth's geodetic satellites show that secular effects can reach a few decameters per year. The secular variations can even reach several hundred of meters per year for the Mars natural satellite Phobos.
Barlier François
Boudon Y.
Exertier Pierre
Métris Gilles
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