Deriving the Mass Distribution of M87 from Globular Clusters

@article{Wu2005DerivingTM,
  title={Deriving the Mass Distribution of M87 from Globular Clusters},
  author={Xiaoan Wu and Scott Tremaine},
  journal={The Astrophysical Journal},
  year={2005},
  volume={643},
  pages={210 - 221}
}
We describe a maximum likelihood method for determining the mass distribution in spherical stellar systems from the radial velocities of a population of discrete test particles. The method assumes a parametric form for the mass distribution and a nonparametric two-integral distribution function. We apply the method to a sample of 161 globular clusters in M87. We find that the mass within 32 kpc is (2.4 ± 0.6) × 1012 M☉, and the exponent of the density profile ρ ∝ r-α in the range 10-100 kpc is… 

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