Love number K determined from astronomical observations of the earth's rotation

Mathematics – Logic

Scientific paper

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Astronomy, Earth Rotation, Earth Tides, Geodynamics, Love Waves, Universal Time, Autocorrelation, Fourier Transformation, Maximum Entropy Method, Meteorological Parameters, Ocean Dynamics, Periodic Variations, Time Measurement, Time Series Analysis

Scientific paper

Universal time measurements from 1967 to 1978 were used to estimate Love number k. The spectral estimate was carried out using Fourier transformation with Tukey-Hanning's window (Andel, 1976) and using the method of maximum entropy. The time measurements were divided into intervals of three years, and the systematic differences in the constant k were determined for each interval. Results of the two methods are in good agreement and indicate that short-term changes in the earth's rotation with periods of up to one month are probably due to other dynamic factors besides tidal deformations.

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