Studies of dynamical properties of globular clusters. IV - Detailed structure of 47 Tucanae

Astronomy and Astrophysics – Astrophysics

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Globular Clusters, Radial Velocity, Stellar Motions, Main Sequence Stars, Mass To Light Ratios, White Dwarf Stars

Scientific paper

A King-Michie dynamical model has been built, based on an assumed form of the phase-space distribution function f(E,J) which induces a radially anisotropic velocity dispersion. This model consists of ten different subpopulations representing heavy remnants, white dwarfs and main sequence stars. From fitting to the surface brightness profile already published in the literature and to the mean radial velocities obtained with CORAVEL for 272 individual stars in 47 Tuc, and taking into account the recently observed main sequence luminosity function, it appears that only models with anisotropy of the velocity dispersion (ra = 20-30-40 rc with c = log (rt/rc) ≅ 2.1) agree with the observations. The usual single power-law mass functions are not able to generate models that satisfy the observational constraints. Mass functions with two power-law segments are acceptable, and used in this paper. The total mass Mtot = 0.70×106M_sun; gives a mean mass-to-light ratio M/LV = 1.8.

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