New solution for the anomalous gravity potential

Abstract

This note is a symbiosis of classical and modern gravimetric geodesy. The formulas obtained are almost equivalent to those of Molodensky and Brovar but are less data dependent, more direct from the computational point of view, and more advantageous for the utilization of artificial satellite data. Because of the inclusion of terms involving a non-vanishing topographic mean density, the new theory is more general than the method of Bjerhammar and not subject to a growing bias with decreasing wavelength. It also has ramifications for simplified models and model combinations derived or proposed by other authors.