Gravitational potential of a homogeneous circular torus: a new approach

被引：15

作者：

Bannikova, E. Yu ^{[1
,2
]}

Vakulik, V. G. ^{[1
,2
]}

Shulga, V. M. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Radio Astron, UA-61022 Kharkov, Ukraine

[2] Kharkov Natl Univ, UA-61022 Kharkov, Ukraine

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2011年 / 411卷 / 01期

关键词：

galaxies: general; gravitation; LAPLACE SERIES EXPANSION; ACTIVE GALACTIC NUCLEI; DARK-MATTER; GALAXY; RING;

D O I：

10.1111/j.1365-2966.2010.17700.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The integral expression for the gravitational potential of a homogeneous circular torus composed of infinitely thin rings is obtained. Approximate expressions for the torus potential in the outer and inner regions are found. In the outer region, the torus potential is shown to be approximately equal to that of an infinitely thin ring of the same mass; it is valid up to the surface of the torus. It is shown in a first approximation that the inner potential of the torus ( inside a torus body) is a quadratic function of the coordinates. A method of sewing together the inner and outer potentials is proposed. This method provides a continuous approximate solution for the potential and its derivatives, working throughout the region.

引用

页码：557 / 564

页数：8

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