Relativistic effects of rotating and oblate earth on artificial satellite orbits

Details Relativistic effects of rotating and oblate earth on artificial satellite orbits Relativistic effects of rotating and oblate earth on artificial satellite orbits

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988acasn..29..403c&link_type=abstract

(Acta Astronomica Sinica, vol. 29, no. 4, 1988, p. 403-412) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 13, June 1

Astronomy and Astrophysics

Astrophysics

Artificial Satellites, Earth Rotation, Oblate Spheroids, Relativistic Effects, Satellite Orbits, Equations Of Motion, Orbit Perturbation, Orbital Elements

Scientific paper

To an accuracy of 10 to the -13th, the equation of motion of a test particle and the average first-order derivatives of its orbital elements were derived under the geocentric n-body metric and under the Kerr metric. On this basis, the general relativistic effects of a spherical earth, and the rotation and the J2 term of the earth on the orbits of artificial satellites are analyzed. It is concuded that the longitude of the ascending node, the argument of pericenter and the mean anomaly are subject to secular and periodic perturbations and that these relativistic effects should be taken into account when determining satellite orbits on long arcs in dynamical geodesy.

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