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We present an improved data-reduction technique to obtain high-precisionproper motions (PMs) of globular clusters using Hubble Space Telescope data.The new reduction is superior to the one presented in the first paper of thisseries for the faintest sources in very crowded fields. We choose the globularcluster NGC 362 as a benchmark to test our new procedures. We measure PMs of117 450 sources in the field, showing that we are able to obtain a PM precisionbetter than 10 $\mu$as yr$^{-1}$ for bright stars. We make use of this new PMcatalog of NGC 362 to study the cluster's internal kinematics. We investigatethe velocity-dispersion profiles of the multiple stellar populations hosted byNGC 362 and find new pieces of information on the kinematics of first- andsecond-generation stars. We analyze the level of energy equipartition of thecluster and find direct evidence for its post-core-collapsed state fromkinematic arguments alone. We refine the dynamical mass of the blue stragglersand study possible kinematic differences between blue stragglers formed bycollisions and mass transfer. We also measure no significant cluster rotationin the plane of the sky. Finally, we measure the absolute PM of NGC 362 and ofthe background stars belonging to the Small Magellanic Cloud, finding a goodagreement with previous estimates in the literature. We make the PM catalogpublicly available.

astrophysical journal/the astrophysical journal

Hubble Space Telescope Proper motion (HSTPROMO) Catalogs of Galactic  Globular Clusters. VI. Improved data reduction and internal-kinematic  analysis of NGC 362