Analytical expressions for earth tides perturbations on artificial satellites

Mathematics

Scientific paper

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Artificial Satellites, Earth Tides, Love Waves, Orbit Perturbation, Tesseral Harmonics, Analytic Functions, Approximation, Geodetic Satellites, Series (Mathematics), Tables (Data), Time Dependence

Scientific paper

An analytical first order formulation of earth tides perturbations on close earth satellites has been derived, generalizing the expansions given by W. Kaula in 1969. In particular, tesseral harmonics of longitude (and latitude) dependent Love numbers have been considered. The solar and lunar tides perturbations have been treated separately. Some examples of long period perturbations for actual geodetic satellites are given.

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