Accurate Dark Matter Masses For The Faintest Galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Mass profile determinations for dispersion supported galaxies from line-of-sight velocities are subject to large uncertainties associated with the unknown stellar velocity anisotropy. We demonstrate both analytically and with available kinematic data that the mass-anisotropy degeneracy is effectively eliminated at a characteristic radius that is close to the half-light radius of the stars. This allows a simple, yet accurate formula to describe the half-light dynamical masses of spheroidal galaxies based on directly observable parameters: M_{1/2} = 4.2 \sigma_{LOS}^2 R_{1/2} / G, where R_{1/2} is the projected half-light radius and \sigma_{LOS} is the line-of-sight velocity dispersion. We also discuss implications for galaxy formation scenarios.

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