Developments in determining the gravitational potential using toroidal functions

Document Type

Article

Publication Date

1-1-2000

Abstract

Cohl & Tohline (1999) have shown how the integration/summation expression for the Green's 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's equation.

Publication Source (Journal or Book title)

Astronomische Nachrichten

First Page

363

Last Page

372

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