Short Term Evolution of Artificial Satellites

Details Short Term Evolution of Artificial Satellites Short Term Evolution of Artificial Satellites

Apr 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79..277a&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 4, p. 277-296 (2001).

Astronomy and Astrophysics

Astronomy

Artificial Satellite, Harmonic Oscillators, Kbm Method, Artificial Satellite, Harmonic Oscillators, Kbm Method

Scientific paper

When the elimination of the parallax and the elimination of the perigee is applied to the zonal problem of the artificial satellite, a one-degree of freedom Hamiltonian is obtained. The classical way to integrate this Hamiltonian is by applying the Delaunay normalization, however, changing the time to the perturbed true anomaly and the variable to the inverse of the distance, the Hamilton equations become a perturbed harmonic oscillator. In this paper we apply the Krylov—Bogoliubov—Mitropolsky (KBM) method to integrate the perturbed harmonic oscillator as an alternative method to the Delaunay normalization. This method has no problem with small eccentricities and inclinations, and shows good numerical results in the evaluation of ephemeris of satellites.

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