Mapping spherical potentials with discrete radial velocities

Statistics – Computation

Scientific paper

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53

Celestial Mechanics, Galactic Clusters, Gravitational Fields, Mass To Light Ratios, Radial Velocity, Virial Theorem, Dark Matter, Line Of Sight, Spatial Distribution, Stellar Systems

Scientific paper

The present technique for deriving a hot stellar system's gravitational potential from line-of-sight velocity data overcomes the indeterminacy of mass estimates by fitting the full distribution of radial velocities. The technique also obviates the computation of velocity moments, and places narrower constraints on the matter distribution inferrable from the projected velocity dispersion and number density profiles alone. The algorithm is used to infer the distribution of dark matter near the center of the Coma galaxy cluster.

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