Developments in determining the gravitational potential using toroidal functions

Abstract

Cohl & Tohline (1999) have shown how the integration/summation expression for the Green\u27s function in cylindrical coordinates can be written as an azimuthal Fourier series expansion, with toroidal functions as expansion coefficients. In this paper, we show how this compact representation can be extended to other rotationally invariant coordinate systems which are known to admit separable solutions for Laplace\u27s equation