A general method for an explicit determination of the shape of the earth from gravimetric data

Summary The principal formulae of the geophysical geodesy are based on the famous explicit expression of Stokes (1849). Up to now, there has been no method for a computation of the corresponding explicit expression of a (non-spherical) surface with masses outside the geoid. In this paper there is a solution of this problem. Another paper on this subject was presented to “Nordiska geodetm?tet” in Copenhagen May 1959 (in Swedish).