On calculating the Earth's C21 and S21 gravity coefficients in the IERS terrestrial reference frame |
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Authors: | S M Kudryavtsev |
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Institution: | (1) Sternberg Astronomical Institute of Moscow State University, 13, Universitetsky Pr., Moscow 119899, Russia e-mail: ksm@sai.msu.ru, RU |
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Abstract: | Modern models of the Earth's gravity field are developed in the IERS (International Earth Rotation Service) terrestrial reference
frame. In this frame the mean values for gravity coefficients of the second degree and first order, C
21(IERS) and S
21(IERS), by the current IERS Conventions are recommended to be calculated by using the observed polar motion parameters. Here, it
is proved that the formulae presently employed by the IERS Conventions to obtain these coefficients are insufficient to ensure
their values as given by the same source. The relevant error of the normalized mean values for C
21(IERS) and S
21(IERS) is 3×10−12, far above the adopted cutoff (10−13) for variations of these coefficients. Such an error in C
21 and S
21 can produce non-modeled perturbations in motion prediction of certain artificial Earth satellites of a magnitude comparable
to the accuracy of current tracking measurements.
Received: 14 September 1998 / Accepted: 20 May 1999 |
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Keywords: | , Geopotential coefficients C21,S21,IERS values |
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