Developments in determining the gravitational potential using toroidal functions

Authors
Cohl, HS Tohline, JE Rau, ARP Srivastava, HM
Citation
Hs. Cohl et al., Developments in determining the gravitational potential using toroidal functions, ASTRON NACH, 321(5-6), 2000, pp. 363-372
Citations number
23
Categorie Soggetti
Space Sciences
Journal title
ASTRONOMISCHE NACHRICHTEN
ISSN journal
00046337 → ACNP
Volume
321
Issue
5-6
Year of publication
2000
Pages
363 - 372
Database
ISI
SICI code
0004-6337(2000)321:5-6<363:DIDTGP>2.0.ZU;2-E
Abstract
Cohl & Tohline (1999) have shown how the integration/summation expression f or the Green's function in cylindrical coordinates can be written as an azi muthal Fourier series expansion, with toroidal functions as expansion coeff icients. In this paper, we show how this compact representation can be exte nded to other rotationally invariant coordinate systems which are known to admit separable solutions for Laplace's equation.