Abstract
A comparative review of analytic theories for the motion of Earth satellites in quasi-circular orbits written in the spherical coordinate frame is presented. The theory of motion is developed for satellites in quasi-circular and quasi-equatorial orbits subjected to geopotential, luni-solar and solar radiation pressure force perturbations. The intermediate orbit is Keplerian and the equations of motion are solved by the Lyapunov–Poincaré small parameter method. Both resonant and non-resonant cases are considered. The results can be useful for the development of a complete theory of weakly eccentric orbits.
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Alimov, G., Greb, A., Kuznetsov, E. et al. Approximate Analytical Theory of Satellite Orbit Prediction Presented in Spherical Coordinates Frame. Celestial Mechanics and Dynamical Astronomy 81, 219–234 (2001). https://doi.org/10.1023/A:1013252917957
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DOI: https://doi.org/10.1023/A:1013252917957