Numerical Theory of Rotation of the Deformable Earth with the Fluid Core: Fitting to VLBI Data and Deriving Corrections to IAU 2000 Theory

Astronomy and Astrophysics – Astronomy

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The VLBI-based offsets of the Celestial Pole positions (GSFC series for the time interval 1984, January 1 - 2005, October 20) are analyzed applying the Earth's rotation theory ERA-2005 constructed by numerical integration of differential equations of rotation of the deformable anelastic Earth with the two-layer fluid core. The mathematical model underlying ERA-2005 accounts for a number of important effects ignored by the adopted IAU 2000 theory, and as a result it provides considerably better fitting to the VLBI data. For ERA-2005 the wrms errors of the residuals of the angles of nutation ɛ and precession Φ are 0.136 mas and 0.129 mas (the latter being multiplied by sin ɛ), while using the IAU 2000 model these are 0.172 mas and 0.165 mas, respectively. The analysis of the VLBI data has revealed surprisingly fast deterioration of IAU 2000 after the year 2000: by December 2005, the deviation of the IAU 2000 precession angle Φ from observations reached 1 mas. Comparison of IAU 2000 with the numerical theory demonstrates that by 2009 the deviation will exceed 2 mas with the increase keeping on steadily (see Figure 1). Such errors would be too big not only for geodynamic applications of IAU 2000, but even for publications of the precessional parameters in Astronomical Yearbooks. Fig 1. Observed and predicted corrections sin d to the precession angle of IAU 2000

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