Relativistic equations of motion of the earth's satellite in the geocentric frame of reference

Details Relativistic equations of motion of the earth's satellite in the geocentric frame of reference Relativistic equations of motion of the earth's satellite in the geocentric frame of reference

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989kfnt....5....3b&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 5, Jan.-Feb. 1989, p. 3-8. In Russian.

Astronomy and Astrophysics

Astronomy

1

Artificial Satellites, Astrodynamics, Geocentric Coordinates, Relativistic Effects, Spacecraft Motion, Equations Of Motion, Satellite Perturbation, Schwarzschild Metric, Solar Terrestrial Interactions

Scientific paper

Relativistic equations of motion of the earth's satellite in the harmonic nonrotating geocentric coordinate system are presented. In the relativistic parts of the equations, the Schwarzschild, Lense-Thirring, and quadrupole perturbations from the earth as well as tidal perturbations from the sun and moon are taken into account. The equations are derived by transforming the satellite's equations of motion from the barycentric coordinate system to the geocentric one, and by directly applying the geodesic principle in the geocentric coordinate system.

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