Hubble-Reynolds定律[Hubble-Reynolds Law] - 达人(其实～我是卧底，来自外星)

2005/04/05 | Hubble-Reynolds定律[Hubble-Reynolds Law]
类别(¤〖天文〗) | 评论(0) | 阅读(35) | 发表于 13:57: A formula that gives the observed surface brightness profile of elliptical galaxies as a function of projected radial distance R,
(1)

A modified version is given by Binney and Tremaine (1987, p. 39). Let be the spherical luminosity density, and the observed brightness. Then
(2)

where a is the core radius, r is the radius, R is the projected radius, and

Then

(3)

Let
(4)

so
(5)

If the density is given by
(6)

where is the mass to luminosity ratio and j(r) is the luminous density, then
(7)

(8)

The potential energy is therefore
(5)

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