Density distributions for the equipotential ellipsoid

Abstract

Part I deals with a general method of finding regular mass distributions for the equipotential ellipsoid; the method is illustrated by a simple model consisting of a homogeneous core and a nearly homogeneous mantle. In Part II continuous density models using finite closed polynomials are investigated with a view to finding the simplest expressions that are consistent with the general trend of the distribution of density as represented by Bullard's density law. The subjects of Part III are special topics such as potential and gravity inside the earth, some unsolved problems being pointed out.