The mathematical representation of time-dependent parameters in some global geodynamics problems. I - Theoretical principles

Statistics – Computation

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Celestial Geodesy, Geodynamics, Satellite Observation, Chebyshev Approximation, Computational Astrophysics, Earth Tides, Mathematical Models, Nutation, Spherical Harmonics, Time Dependence

Scientific paper

The problem of the mathematically homogeneous representation of time-dependent parameters is considered in the solution of global geodynamics problems associated with the processing of satellite observations. Two variants of the time-dependent geodynamic model of the geopotential are considered: (1) the conventional spherical harmonic expansion and (2) field approximation by a system of point masses. Formulas are obtained for the computation of the Chebyshev expansions for time-dependent phenomena (i.e., nutation, earth tides, and the tidal variation of UT1).

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