Self-consistent two-component models of elliptical galaxies

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Astronomical Models, Dark Matter, Elliptical Galaxies, Galactic Mass, Mass To Light Ratios, Stellar Mass, Anisotropy, Dynamic Models, Mass Distribution, Velocity Distribution

Scientific paper

Spherical self-consistent elliptical galaxy models, embedded in a dark matter halo, are constructed. Two different stellar distributions are considered: the King law, and another one reproducing the R exp 1/4 luminosity law; the stellar mass-to-light ratio is constant. The concentration and the amount of the stellar and dark matter distributions are determined by five parameters; two characteristic radii determine the radial trend of the anisotropy for the stellar and dark halo velocity dispersion tensors. The multicomponent decomposition of dynamical models of galaxies, and a theorem concerning their consistency are introduced; then, the region of the parameter space where the models are self-consistently generated are determined. For some models lying in this region the stellar velocity dispersion profiles are described in detail, pointing out the effects of the anisotropy and of the dark matter.

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