Analytical Galactic Models with Mild Cusps

Details Analytical Galactic Models with Mild Cusps Analytical Galactic Models with Mild Cusps

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aspc..419..163r&link_type=abstract

Galaxy Evolution: Emerging Insights and Future Challenges ASP Conference Series, Vol. 419, proceedings of a conference held 11-1

Astronomy and Astrophysics

Astronomy

Scientific paper

High-resolution observations of early-type galaxies have shown that their nuclear surface brightness and corresponding stellar mass densities are characterized by cusps. We present a new class of spherical analytical potential-density pairs describing mild cuspy centres. We study isotropic and anisotropic models of Osipkov-Merritt type. The associated distribution functions and intrinsic velocity dispersions can be represented analytically in a unified way in terms of hypergeometric functions for a large range of parameters. This allows for an easy comparison of these important quantities for underlying mass densities having varying degrees of central cuspiness or radial falloff.

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