Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...249...99c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 249, no. 1, Sept. 1991, p. 99-106. Research supported by MURST of Italy.
Astronomy and Astrophysics
Astrophysics
122
Elliptical Galaxies, Galactic Structure, Luminosity, Stellar Systems, Dynamic Characteristics, Energy Distribution, Kinematics
Scientific paper
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 mass-to-light ratios and to be spherically symmetrical and isotropic in terms of the velocity dispersion tensor. Calculations are presented of the assumed surface-brightness profile, the spatial luminosity and density, and the line-of-sight 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).
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