Spectral analysis of CHAMP kinematic velocities determined by applying smoothing cubic splines

Abstract

Kinematic velocities are needed when gravity field recovery ought to be done from kinematic positions by the use of the energy integral. \cite pp02 has tested smoothing cubic splines applying on CHAMP kinematic orbit. The solution has been found potent when a reference gravity field is used during the processing. However the possibility of an error emerges that the reference field ´leaks´ into the estimated velocity, which would harmfully affect the gravity field model solution in the subsequent step. The use of smoothing splines demands strict investigations in the Fourier-domain. Tests in the Fourier domain are shown in the recent paper.