Spectral analysis of the numerical theory of the rigid Earth rotation

Details Spectral analysis of the numerical theory of the rigid Earth rotation Spectral analysis of the numerical theory of the rigid Earth rotation

Sep 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005jsrs.meet...82p&link_type=abstract

In: Journées 2004 - systèmes de référence spatio-temporels. Fundamental astronomy: new concepts and models for high accuracy obs

Astronomy and Astrophysics

Astronomy

1

Earth Rotation

Scientific paper

The discrepancies of the comparison between the high-precision numerical solutions of the rigid Earth rotation problem and the semi-analytical solutions SMART97 (Bretagnon et al., 1998), (Brumberg and Bretagnon, 2000) are processed by means of the spectral analysis methods for the kinematical and dynamical cases over the time interval of 2000 years. The secular trends in the discrepancies are processed by the least squares method and the new temporal polynomials of the 6-th degree for the precessional parameters and for GMST are presented. The power spectra of the periodic parts of the discrepancies are constructed by using the arguments of the nutational harmonics of SMART97 solutions. Starting from the maximum term of the spectra, the coefficients of the harmonics are determined successively. The set of these harmonics and those of SMART97 solutions represent the new nutational series consisting of more than 9000 periodic terms. The comparison between the quadruple precision numerical solutions of the problem and the new rigid Earth rotation series reveals that the discrepancies do not surpass 10μas over 2000 years in Euler angels.

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