Spectral Analysis of the Airborne Vector Gravimetry Problem

Several possible approaches for airborne vector gravimetry are compared using the spectral analysis technique. The airborne gravimetry equations are reduced to a time-invariant form using a special averaging method. Then the Fourier transform is applied to the equations. The accuracy of each approach is determined as the power spectral density of the gravity Wiener estimate error. Numerical results for the accuracy of each approach are presented given a priori stochastic models for the gravity disturbance vector and measurement errors.