Empirical Earth Rotation model



Introduction

Empirical Earth Rotation Model is an alternative to the traditional method for modeling kinematics of the Earth's rotation. The empirical Earth rotation model represents the transformation of a vector from the terrestrial coordinate system rT to the celestial rC as

rc = MarT + qe × rT

where Ma   is the a priori rotation matrix accurate to a level of 2⋅10-6 rad, qe — the vector of small perturbational rotation determined from analysis of observations. The vector qe is sought in the form of expansion over two bases: the Fourier basis and the basis of B-splines. Thus, the Empirical Earth Rotation Model determines a continuous, differentiable function which defines the matrix of transformation from the terrestrial coordinate system to the celestial coordinate system at any given moment of time within the interval of observations.

This approach is discussed in details in L. Petrov, "The empirical Earth rotation model from VLBI observations", Astronomy and Astrophysics, vol. 467, pp. 359-369, 2007;   http://arxiv.org/abs/astro-ph/0611781
   Full text: http://astrogeo.org/petrov/papers/erm.pdf.

NB: Printed version of the paper has several typos in equations. Please refer to Erratum.

Empirical Earth orientation model from analysis of VLBI observations

Numerical tables of the results of analysis of VLBI observations from 1984.0 through 2006.7, discussed in the paper are here:

Latest full ERM from VLBI observations

Numerical tables of the results of analysis of VLBI observations from 1984.01.04 through 2007.03.06 are here:

Latest restricted ERM from VLBI observations

Numerical tables of the results of analysis of VLBI observations from 1984.01.04 through 2013.04.02 are here:
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This page was prepared by Leonid Petrov ()
Last update: 2014.12.06_21:17:44