Estimating the central densities of stellar systems

Statistics – Computation

Scientific paper

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Density Distribution, Mass To Light Ratios, Star Distribution, Stellar Cores, Stellar Systems, Velocity Distribution, Anisotropy, Computational Astrophysics, Stellar Models

Scientific paper

The sensitivity of King's (1966) core-fitting formula to velocity anisotropy is discussed. For stable, spherical models, King's formula can overestimate the central density by at least 50 percent. For nonspherical models, the error can be 150 percent or more. In all cases, the sensitivity of the core-fitting formula to anisotropy can be reduced somewhat if velocity dispersions are averaged over the inner one or two core radii.

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