Problem about the perturbation due to tesseral harmonic terms in the nonspherical gravitional potential

Details Problem about the perturbation due to tesseral harmonic terms in the nonspherical gravitional potential Problem about the perturbation due to tesseral harmonic terms in the nonspherical gravitional potential

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001acasn..42..436m&link_type=abstract

Acta Astronomica Sinica, vol.42, no.4, p.436-443

Astronomy and Astrophysics

Astronomy

Tesseral Harmonic Terms, Perturbation Solution, Earth Rotation Terms, Combined Perturbation

Scientific paper

The perturbation due to nonspherical gravitational potential is the most important when artificial satellites move around the earth. It is easily ignored perturbation due to tesseral harmonic terms that will be discussed in this paper. The corresponding perturbation function is as following:
where is geocentric granitational constant, is the equatorial radius of earth referenced ellipsoid , and () are coefficients of tesseral harmonic terms, are obliquity functions, are Hansen coefficients. Although the order of magnitude of perturbation due to tesseral harmonic terms is the small magnitude of two rank (),and the influence to satellite's orbit is also short-periodic perturbation effect, the perturbing terms include the earth rotation terms more than ten times bigger than general terms for the low-orbit satellites, so it must attach importance to these terms. The general form of the complete perturbation solutions of every rank and order by the quasi-mean element method are obtained. In the solutions of and ,the general terms of and the earth rotation terms of are reserved in the perturbation solutions, which means that the terms of are ignored. In addition, The terms of and the earth rotation terms of combined perturbation for the semi-major axis are also reserved. The reason is the special demand to by the mean-anomaly .

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