Seite - 105 - in Contributions to GRACE Gravity Field Recovery - Improvements in Dynamic Orbit Integration, Stochastic Modelling of the Antenna Offset Correction, and Co-Estimation of Satellite Orientations

(a) Stationary covariance. (b)Σ∆ρ˙AOC GRACE-A (c)Σ∆ρ˙AOC GRACE-B 10−5 10−4 10−3 10−2 (d)Σ∆ρ˙AOC GRACE-A (e)Σ∆ρ˙AOC GRACE-B 10−32 10−28 10−24 10−20 10−16 10−12 10−8 10−4 Figure 8.3: Full temporal covariance matrices in the range-rate domain for one short arc in June 2010. (a) shows the estimated Toeplitz matrix due to the assumed stationary noise component. (b) and (c) show the covariances due to orientation uncertainty in the AOC at the same scale. (d) and (e) show a magnified view of the AOC covariance matrices. Here, periods where only one SCA head was active on the respective spacecraft are marked in red. 8.1 The Antenna Offset Correction in the ll-SST Observation Equation 105