A representation of lunar-solar perturbations in the motion of artificial earth satellites by trigonometric series with time-dependent coefficients

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth-Moon System, Satellite Perturbation, Solar Planetary Interactions, Trigonometric Functions, Chebyshev Approximation, Satellite Orbits, Time Dependence

Scientific paper

A new method of calculating the lunar-solar perturbations in the motion of artificial earth satellites is suggested. It is based on a representation of the perturbations in the elements of the satellite's intermediate orbit by short partial sums of trigonometric series. The coefficients of the series are functions of time which are expanded into Chebyshev series at short intervals (up to 4 d). This form of perturbations significantly saves computer time and memory.

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