Mk. Cheng et al., DETERMINATION OF LONG-TERM CHANGES IN THE EARTHS GRAVITY-FIELD FROM SATELLITE LASER RANGING OBSERVATIONS, J GEO R-SOL, 102(B10), 1997, pp. 22377-22390
Temporal changes in the Earth's gravity field have been determined by
analyzing satellite laser ranging (SLR) observations of eight geodetic
satellites using data spanning an interval of over 20 years. The sate
llites used in the analysis include Starlette, LAGEOS 1 and 2, Ajisai,
Etalon 1 and 2, Stella, and BE-C. Geophysical parameters, related to
both secular and long-period variations in the Earth's gravity field,
including the geopotential zonal rates ((J) over dot(2), (J) over dot(
3), (J) over dot(4), (J) over dot(5), and (J) over dot(6)) and the 18.
6-year tide parameter, were estimated. The estimated values for these
parameters are (J) over dot(2) = -2.7+/-0.4(10(-11)/yr); (J) over dot(
3) = 1.3+/-0.5(10(-11)/yr); (J) over dot(4) = -1.4+/-0(10(-11)/yr); (J
) over dot(5) = 2.1+/-0.6(10(-11)/yr); (J) over dot(6) = 0.3+/-0.7(10(
-11)/yr); C-18.6(+20) = 1.56 +/-0.2 (centimeters) and S-18.6(+20) = -0
.1+/-0.2 (centimeters). The amplitude and phase for the 18.6-year tide
are in general agreement with the effects predicted by the Earth's ma
ntle anelasticity. The solution accuracy was evaluated by considering
the effects of errors in various non-estimated dynamical model paramet
ers and by varying the data span and data sets used in the solution. E
stimates for (J) over dot(3) from individual LAGEOS 1 and Starlette SL
R data sets are in good agreement. The lumped sum values for (J) over
dot(3) and (J) over dot(5) are very different for LAGEOS 1 and Starlet
te. The zonal rate determination is limited to degree 6 with the curre
nt SLR data sets. Analysis of the sensitivity of the solution for the
zonal rates to the satellite tracking data span suggests that the temp
oral extension of the current SLR data sets will enhance the solution
of zonal rates beyond degree 6.