The Problem of Reducing the Formula Describing the Shape of the Earth to a Taylor Series (K Voprosu Privedeniya Formuly, Opredelyayushchei Figuru Zemli, k Ryadu Teilora)
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Molodenskiy has suggested a new method of solving his integral equation for the density of a simple layer and has obtained formulae for successive approximations of the disturbing potential on the physical surface of the earth. If the earths physical surface on which the gravity anomalies are given is assumed to be a sphere, then the disturbing potential will be determined by Stokes formula. This paper shows an attempt to obtain this result using the Molodenskiy method of successive approximations, and also the method of transformations by expanding the disturbing potential in a Taylor series.