Stellar systems following the R1/m luminosity law.
Abstract
The isotropic spherical galaxies are examined to determine specific properties of the systems including the exponential differential energy distribution and the applicability of the Vaucouleurs law. Stellar systems that follow the R exp 1/m law are assumed to have constant masstolight ratios and to be spherically symmetrical and isotropic in terms of the velocity dispersion tensor. Calculations are presented of the assumed surfacebrightness profile, the spatial luminosity and density, and the lineofsight velocity dispersion for values of m ranging from 2 to 10. The dimensionless distribution function and the normalized differential energy distribution (DED) are developed and given. The results show that the distribution function is never negative for the systems, and the exponential behavior of the DED is a common property of these stellar systems. The fraction of stellar mass within the Boltzmann range is found to depend on the parameter m and relate to the Vaucouleurs law maximum (m = 4).
 Publication:

Astronomy and Astrophysics
 Pub Date:
 September 1991
 Bibcode:
 1991A&A...249...99C
 Keywords:

 Elliptical Galaxies;
 Galactic Structure;
 Luminosity;
 Stellar Systems;
 Dynamic Characteristics;
 Energy Distribution;
 Kinematics;
 Astrophysics