A family of models for spherical stellar systems
S Tremaine, DO Richstone, YI Byun… - … Journal (ISSN 0004 …, 1994 - adsabs.harvard.edu
We describe a one-parameter family of models of stable spherical stellar systems in which
the phase-space distribution function depends only on energy. The models have similar
density profiles in their outer parts ($\rho\propto r^{-4} $) and central power-law density
cusps, $\rho\propto r^{3-\eta} $, $0<\eta\le 3$. The family contains the Jaffe (1983) and
Hernquist (1990) models as special cases. We evaluate the surface brightness profile, the
line-of-sight velocity dispersion profile, and the distribution function, and discuss analogs of …
the phase-space distribution function depends only on energy. The models have similar
density profiles in their outer parts ($\rho\propto r^{-4} $) and central power-law density
cusps, $\rho\propto r^{3-\eta} $, $0<\eta\le 3$. The family contains the Jaffe (1983) and
Hernquist (1990) models as special cases. We evaluate the surface brightness profile, the
line-of-sight velocity dispersion profile, and the distribution function, and discuss analogs of …
A Family of Models for Spherical Stellar Systems
We describe a one-parameter family of models of stable spherical stellar systems in which
the phase-space distribution function depends only on energy. The models have similar
density profiles in their outer parts ($\rho\propto r^{-4} $) and central power-law density
cusps, $\rho\propto r^{3-\eta} $, $0<\eta\le 3$. The family contains the Jaffe (1983) and
Hernquist (1990) models as special cases. We evaluate the surface brightness profile, the
line-of-sight velocity dispersion profile, and the distribution function, and discuss analogs of …
the phase-space distribution function depends only on energy. The models have similar
density profiles in their outer parts ($\rho\propto r^{-4} $) and central power-law density
cusps, $\rho\propto r^{3-\eta} $, $0<\eta\le 3$. The family contains the Jaffe (1983) and
Hernquist (1990) models as special cases. We evaluate the surface brightness profile, the
line-of-sight velocity dispersion profile, and the distribution function, and discuss analogs of …
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