光度密度[Luminosity Density] - 揭示大自然的规律

光度密度[Luminosity Density] [2005-4-17]
iamet 发表在 ¤〖天文〗

Let j be the luminosity per unit column of a spherical distribution. The the observed distribution

(1)

where R is the vertical distance from the center, z is the horizontal distance from the center, r is the radial distance from the center, and

(2)

The mass density is given by

(3)

where

is the mass/luminosity ratio and j(r) is the luminosity per unit volume. It is often parameterized by

(4)

The surface brightness is then

(5)

(6)

The mass is then given by

(7)

(8)

The circular velocity would then be

(9)

(10)

(11)

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