Hubble Space Telescope proper motion (HSTPROMO) catalogs of Galactic globular clusters. II. Kinematic profiles and maps

TL;DR

This study provides detailed kinematic profiles and maps of 22 Galactic globular clusters using Hubble proper motion data, revealing correlations between cluster structure and kinematic properties, and offering a basis for advanced dynamical modeling.

Contribution

First proper-motion based kinematic analysis for most clusters, offering detailed velocity-dispersion and anisotropy profiles, and exploring their relation to structural properties.

Findings

Centrally-concentrated clusters have steeper velocity-dispersion profiles.

Photometric and kinematic centers generally agree within ~1".

Clusters are mostly isotropic at cores, mildly anisotropic near half-mass radius.

Abstract

We present kinematical analyses of 22 Galactic globular clusters using the Hubble Space Telescope proper motion (HSTPROMO) catalogues recently presented in Bellini et al. (2014). For most clusters, this is the first proper-motion study ever performed, and, for many, this is the most detailed kinematic study of any kind. We use cleaned samples of bright stars to determine binned velocity-dispersion and velocity-anisotropy radial profiles and two-dimensional velocity-dispersion spatial maps. Using these profiles, we search for correlations between cluster kinematics and structural properties. We find that: (1) more centrally-concentrated clusters have steeper radial velocity-dispersion profiles; (2) on average, at 1\sigma confidence in two dimensions, the photometric and kinematic centres of globular clusters agree to within ~1", with a cluster-to-cluster rms of 4" (including observational uncertainties); (3) on average, the cores of globular clusters have isotropic velocity distributions to within 1% (\sigma_t/\sigma_r = 0.992 +/- 0.005), with a cluster-to-cluster rms of 2% (including observational uncertainties); (4) clusters generally have mildly radially anisotropic velocity distributions (\sigma_t/\sigma_r ~ 0.8-1.0) near the half-mass radius, with bigger deviations from isotropy for clusters with longer relaxation times; (5) there is a relation between \sigma_minor/\sigma_major and ellipticity, such that the more flattened clusters in the sample tend to be more anisotropic, with \sigma_minor/\sigma_major ~ 0.9-1.0. Aside from these general results and correlations, the profiles and maps presented here can provide a basis for detailed dynamical modelling of individual globular clusters. Given the quality of the data, this is likely to provide new insights into a range of topics concerning globular cluster mass profiles, structure, and dynamics.