Application of variance component estimation to precision orbit determination for ERS-2

Statistics – Computation

Scientific paper

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Precision Orbit Determination, Variance Component Estimation, Data Weighting

Scientific paper

The variance component estimation (VCE) method was applied to the precision orbit determination (POD) for ERS-2 satellite. Totally, 23 5-day-long maneuver-free arcs with 2 days overlap (when without orbit maneuver separation between the successive arcs) in the early three months of 1998 were computed using SLR and PRARE data. To inspect the effect of the VCE method on the POD computation, the measurement residuals were analyzed, and the overlapping arcs were compared. At last, the mean posteriori standard deviations of each group of measurement were given. The analyses of residuals show that using the VCE method improved the fitness of measurements. Using Abbey criterion to examine systematic error checked the residuals. The checking results show that the VCE method could not eliminate the systematic errors in the orbit caused by the errors in dynamic and geometric models. The comparison results of overlapping arcs show that (1) using the VCE method reduced the mean deviations of overlapping arcs and the obviously unreasonable deviations in some arcs, thus made the orbit have more uniform precision; (2) relatively?the reduction of the mean deviations is more apparent in the transverse direction. From the mean posteriori standard deviations of each group of measurements, we could see that, for single normal points, the data of several SLR stations are more important than other measurements in POD computation. In general, the yielded mean posteriori standard deviations are more reasonable than the initial standard deviations to weight the observations.

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