Page - 73 - 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

σˆ2 POD Set up Observation Equations KBR Decorrelate Cxx,σ2 Converged? 1 r, r˙ Φ σ2Cxx KBR: σ2Cxx POD A/B: r, r˙l¯A¯ Solve, Compute Residuals, Estimate Covariance Function and Arc-wise Variance Factors Cˆxx KBR: Cˆxx POD A/B: 2, 3 4 to 9 No Yes Input Data Intermediate Results Final Results σˆ2 For both GRACE-A and GRACE-B lA Figure 6.7: Summary of estimation of the observation covariance functions Cˆxx and arc-wise variance factors σˆ2 for KBR and POD observations.Φ are the state transition matrices from the dynamic orbit determination,r, r˙ are the dynamic orbits of the two spacecraft. 6.5 Fit of Stochastic Model 73