Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993azh....70..209k&link_type=abstract
Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 70, no. 1, p. 209-215.
Astronomy and Astrophysics
Astronomy
Artificial Satellites, Inertia, Satellite Perturbation, Solar Planetary Interactions, Disturbing Functions, Geocentric Coordinates, Geopotential, Periodic Variations
Scientific paper
The interaction of the moon, sun, and planets with a nonspherical earth results in the additional acceleration of the earth's center of inertia. Consequently, the geocentric motion of an artificial earth satellite is affected by additional inertial forces. Corresponding perturbing acceleration in satellite motion is evaluated, and their parameters are estimated. The dominant term (about 10 exp -11 m/sq s) is due to the interaction of the moon and the second zonal harmonic of the geopotential. The perturbing function is derived, the evolutionary Lagrange equations are constructed, and the behavior of the osculating elements is studied. The existence of long-period variations in all elements except for the semimajor axis is established; the periods are about 9.2 and 27.6 d.
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