Laplace series expansion of the potential of a homogeneous circular torus

被引：11

作者：

Kondrat'ev, B. P. ^{[1
]}

Dubrovskii, A. S. ^{[1
]}

Trubitsyna, N. G. ^{[1
]}

Mukhametshina, E. Sh. ^{[1
]}

机构：

[1] Udmurt State Univ, Izhevsk 426034, Russia

来源：

TECHNICAL PHYSICS | 2009年 / 54卷 / 02期

关键词：

92.30.Em;

D O I：

10.1134/S1063784209020042

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The external potential of a homogeneous circular torus is represented by a series expansion in spherical functions (Laplace series). Exact analytical formulas are derived for the coefficients of this series, which can be expressed in terms of Legendre polynomials depending only on the geometrical parameter of the torus. The convergence of the series is proved and the radius of convergence is determined. The resultant expressions are verified numerically.

引用

页码：176 / 181

页数：6

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