Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..293h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 3, 1992, p. 293-307. Research supported by NNSFC.
Astronomy and Astrophysics
Astronomy
3
Geodesy, Geoids, Precession, Satellite Orbits, Orbit Calculation, Orbital Elements, Orbital Mechanics, Perturbation Theory
Scientific paper
On the basis of the results by Huang et al. (1990), this paper further discusses and analyzes the four post-Newtonian effects in a near-earth satellite orbit: the Schwarzschild solution, the post-Newtonian effects of the geodesic precession, the Lense-Thirring precession, and the oblateness of the earth. A full analytical solution to the effects, including their direct perturbations and mixed perturbations due to the Newtonian oblateness (J2) perturbation and the Schwarzschild solution, is obtained using the quasi-mean orbital element method analogous to the Kozai's mean orbital element method. Some perturbation properties of the post-Newtonian effects are revealed. The results obtained not only can provide a sound scientific basis for the precise determination of a man-made satellite orbit but also is suitable for similar mechanics systems, such as the motions of planets, asteroids and natural satellites.
Huang Cheng
Liu Lin
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