Abstract
It is customary to perform analysis of the Earth’s rotation in two steps: first, to present results of estimation of the Earth orientation parameters in the form of time series based on a simplified model of variations of the Earth’s rotation for a short period of time, and then to process this time series of adjustmentsby applying smoothing, re-sampling and other numerical algorithms. This approach suffers from self-inconsistency: the total set of Earth orientation parameters depends on a subjective choice of the apriori Earth orientation model, crosscorrelations between points of the time series are lost, and results of an operational analysis per se have a limited use for end users. Here, an alternative approach of direct estimation of the coefficients of expansion of Euler angle perturbations into basis functions is developed. These coefficients describe the Earth’s rotation over the entire period of observations and are evaluated simultaneously with stationpositions, source coordinates and other parameters in a single LSQ solution. In the framework of this approach considerably larger errors in apriori EOP model are tolerated. This approachgives a significant conceptual simplification of representation and estimation of the Earth’s rotation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Herring, T.A., Gwinn, C.R. & Shapiro, I.I., Geodesy by radio interferometry: studies of the forced nutations of the earth. 1. Data analysis. 1986, J. Geophys. Res., 91, 4745
Mathews P. M., Herring, T. A., & Buffett B. A., Modeling of nutation and precession: new nutation series for nonrigid Earth an insights into the Earth’s interior, 2002, J. Geophys. Res. 107, 10.1203/2001JB1000390
McCarthy & Petit(2004), ed., IERS Conventions, 2004, Verlag des Bundesamtes fuer Kartografie und Geodäsie, 127
Moritz H.,EarthRotation: Theory andObservation, 1987, Frederick Ungar, 617
N¨urnberger,G., 1989, Approximationby splinefunctions, Springer-Verlag
Pannekoek, A., A history of astronomy, Dover Publications Inc., 1989, 521
Petrov, L., The empirical Earth rotation model from VLBI observations, 2006, A&A, 467, 359, 2007
Poinsot, L. Outlines of a New Theory of Rotatory Motion, Cambridgem, John Smith., 1834
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Petrov, L. (2009). Empirical Earth Rotation Model: a Consistent Way to Evaluate Earth Orientation Parameters. In: Drewes, H. (eds) Geodetic Reference Frames. International Association of Geodesy Symposia, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00860-3_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-00860-3_36
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00859-7
Online ISBN: 978-3-642-00860-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)