A function-expansion method of perturbing body coordinates in problems of satellite motion and the rotation of the moon and the earth

Physics

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Earth Rotation, Lunar Rotation, Orbit Perturbation, Orbital Mechanics, Trigonometric Functions, Series Expansion, Spherical Coordinates

Scientific paper

Consideration is given to the trigonometric series expansion of the perturbing body, representing coordinates as explicit functions of time and occurring in theories of satellite motion and the rotation of the earth and the moon. The coefficients of the series are linear in time. A special-purpose programming system for analytical operations with the series has been constructed. The function expansion are obtained for theories of satellite motion and the earth's rotation.

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