Kuzmin模型[Kuzmin Model] - 达人(其实～我是卧底，来自外星)

2005/04/09 | Kuzmin模型[Kuzmin Model]
类别(¤〖天文〗) | 评论(0) | 阅读(24) | 发表于 20:36: A special case of a Plummer-Kuzmin model for the gravitational potential of a galaxy with an infinitely thin disk corresponding to b = 0. It was proposed by Kuzmin (1956) and gives an axisymmetric potential of the form
(1)

The Laplacian in cylindrical coordinates is given by
(2)

so computing the first term gives
(3)

and the second term gives
(4)

Therefore, does indeed satisfy Laplace's equation
(5)

The surface density of this model is given by
(6)

Differentiation leads to Toomre's models.; 0