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 beta = -0.5 and for different degrees of embedding. This particular example satisfies the condition that the central logarithmic slope of the light profile gamma(0) > 2 beta(0). 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.
|Number of pages||4|
|Journal||Astronomy & astrophysics|
|Publication status||Published - Oct-2013|
- galaxies: dwarf
- galaxies: kinematics and dynamics
- DWARF SPHEROIDAL GALAXIES
- VELOCITY DISPERSIONS