Volume 558, October 2013
|Number of page(s)||4|
|Published online||10 October 2013|
An analytic distribution function for a mass-less cored stellar system in a cuspy dark-matter halo
Kapteyn Astronomical Institute, University of Groningen, PO Box 800, 9700 AV Groningen, The Netherlands
Received: 5 August 2013
Accepted: 11 September 2013
We demonstrate the existence of a distribution function that can be used to represent spherical mass-less cored stellar systems having constant mildly tangential velocity anisotropy embedded in cuspy dark-matter halos. In particular, we derived analytically the functional form of the distribution function for a Plummer stellar sphere in a Hernquist dark halo for β0 = −0.5 and for different degrees of embedding. This particular example satisfies the condition that the central logarithmic slope of the light profile γ0 > 2β0. Our models have velocity dispersion profiles similar to those observed in nearby dwarf spheroidal galaxies. Hence they can be used to generate initial conditions for a variety of problems, including N-body simulations that may represent dwarf galaxies in the Local Group.
Key words: galaxies: dwarf / galaxies: kinematics and dynamics
© ESO, 2013
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