Establishment and Analysis of the Spectral Relationship Between Range-Rate and Gravity Potential Based on Energy Conservation

The spectral relationship between range-rate measurements and the gravity potential for low-low satellite-to-satellite tracking mission was established based on the energy conservation theory. Then the performances of satellite separation, the orbital altitude, and the accuracy of range-rate measurements in recovering the earth’s gravity field were simulated and analyzed by this method. Finally, the cumulative geoid errors of the reference mode were obtained by using the configuration parameters of the GRACE mission. By comparing the cumulative geoid errors of the reference mode and GGM02S and EIGEN-GRACE02S models, it basically reflected the performance of GRACE and proved the feasibility of this method.