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Estimation of Random Changes in the Earth's Rotation

Published online by Cambridge University Press:  27 June 2016

B. D. Tapley  and
B. E. Schutz
B. D. Tapley
Affiliation:
Dept. of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas 78712, U.S.A.
B. E. Schutz
Affiliation:
Dept. of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas 78712, U.S.A.

Abstract

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The usual procedures for estimating the motion of the Earth's pole use a least squares data reduction procedure to estimate the coefficients in a time series solution for the coordinates of the pole. Whether optical data or radar tracking data from near Earth satellites is used, the presence of random accelerations in the equations which describe the motion of the Earth's pole will lead to errors if the data is reduced in the classical least squares manner. This investigation presents a technique for estimating the polar motion in the presence of unmodeled accelerations. The unmodeled acceleration is represented by a first order stationary Gauss-Markoff process which can be separated into a timewise correlated component and a purely random component. Using this model, a sequential estimation procedure is developed for estimating the orientation of the pole, the components of Earth's angular velocity and the magnitude of the components of the unmodeled acceleration. The application of the method using both optical and radar tracking data from near Earth satellites is discussed.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 48: Rotation of the Earth , 1972 , pp. 172 - 178
Copyright
Copyright © Reidel 1972 

References

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