The mapping of Kaula's solution into the orbital reference frame

Astronomy and Astrophysics – Astronomy

Scientific paper

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Artificial Satellites, Celestial Reference Systems, Geopotential, Orbital Mechanics, Eccentricity, Gravitational Effects, Orbital Elements, Tides

Scientific paper

Kaula's celebrated solution to the problem of satellite motion in the gravitational field of a rigid body is transformed to give the perturbation spectra in both position and velocity in the radial, transverse and normal directions of the orbital reference frame. This work is an extension and a refinement of the theory of orbital perturbations due to the geopotential previously published by Rosborough and Tapley (1987).

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