Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.214p..25m&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 214, June 1, 1985, p. 25P-28P.
Astronomy and Astrophysics
Astronomy
59
Distribution Functions, Galactic Structure, Velocity Distribution, Anisotropic Media, Brightness Distribution, Radial Velocity, Spheres
Scientific paper
A family of anisotropic distribution functions is derived that correspond exactly to the spherical density law ρ(r) ∝ r-2(1+r)-2, suggested by Jaffe for describing giant elliptical galaxies. The family is characterized by a single free parameter that specifies the degree of velocity anisotropy, from isotropic to completely radial. Both the distribution functions, and the equations describing the radial variation of the velocity dispersion, can be expressed in terms of simple functions.
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