On calculating the Earth's $C_{21}$ and $S_{21}$ gravity coefficients in the IERS terrestrial reference frameстатья
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Дата последнего поиска статьи во внешних источниках: 19 июля 2013 г.
Аннотация: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 coecients of the second degree
and ®rst 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 coecients are
insucient 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 $3\times 10^{-12}$, far above the
adopted cutoff ($10^{-13}$) for variations of these coecients.
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.