A NEW SOLUTION FOR THE ANOMALOUS GRAVITY POTENTIAL RESULTING FROM A MODIFICATION OF MOLODENSKY'S LINEAR APPROXIMATION, ITS PRACTICAL SIGNIFICANCE, AND NUMEROUS RAMIFICATIONS.
ARMY ENGINEER TOPOGRAPHIC LABS FORT BELVOIR VA
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The research note is concerned with the symbiosis of classical and modern theory of gravimetric geodesy. The formulas obtained are essentially equivalent to those of Molodensky and Brovar but are less data dependent, more direct from the computational point of view, and more advantageous pertaining to the utilization of artificial earths satellite data. Due to the inclusion of terms involving a non-vanishing topographic mean density, the new theory is more general than the method of Bjerhammar and, therefore, not dependent on a least-square solution subject to a growing bias with decreasing wave length. It also has ramifications regarding simplified models and model combinations derived or proposed by other authors. Author