Application of Cauchy Integral Analogs to the Theory of a Three-Dimensional Geopotential Field

The first part of this book has revealed the efficiency of theoretical analysis of plane gravimetric and magnetometric problems when the gravitational and the magnetic fields are represented in terms of the Cauchy-type integrals. In this connection, it seems tempting to derive similar expressions for three-dimensional geopotential fields. Solution to this problem, as well as some important applications of Cauchy integral analogs to the geopotential field theory, are taken up in the present chapter.