The use of the precise observations of the celestial ephemeris pole in the analysis of geophysical excitation of earth rotation

Physics

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Celestial Reference Systems, Earth Rotation, Ephemeris Time, Universal Time, Differential Equations, Polar Wandering (Geology), Very Long Base Interferometry

Scientific paper

The time domain relations between polar motion of the rotation axis and the observed changes of the celestial ephemeris pole (CEP), and between the spatial and the terrestrial motions of the CEP, are derived. A simple and direct method, based upon the concept of the nonrotating origin, is presented using only matrix transformations between the conventional Terrestrial Reference System and the Celestial Reference System. The order of magnitude of errors arising from various approximations is estimated by first obtaining the relationships in a strict form. Arbitrary differential equations describing geophysical excitation of polar motion are transformed to the form using only the observed quantities as variables using the final linear expressions.

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