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A universal density slope – velocity anisotropy relation

Published online by Cambridge University Press:  19 May 2006

S.H. Hansen
Affiliation:
University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
B. Moore
Affiliation:
University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
J. Stadel
Affiliation:
University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
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Abstract

One can solve the Jeans equation analytically for equilibrated dark matter structures, once given two pieces of input from numerical simulations. These inputs are 1) a connection between phase-space density and radius, and 2) a connection between velocity anisotropy and density slope, the αβ relation. The first (phase-space density vs. radius) has been analysed through several different simulations, however the second (αβ relation) has not been quantified yet. We perform a large set of numerical experiments in order to quantify the slope and zero-point of the αβ relation. This allows us to conclude that equilibrated dark matter structures indeed have zero central velocity anisotropy, central density slope of α0 ≈ –0.8, and outer anisotropy of approximately β ≈ 0.5.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2006

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