THE STATE-OF-THE-ART \textit{HST} ASTRO-PHOTOMETRIC ANALYSIS OF THE CORE OF $\omega$~CENTAURI. I. THE CATALOG

We have constructed the most-comprehensive catalog of photometry and
proper motions ever assembled for a globular cluster (GC). The core of
\wcen\ has been imaged over 650 times through WFC3's UVIS and IR
channels for the purpose of detector calibration. There exist from 4
to over 60 exposures through each of 26 filters, stretching continuously
from F225W in the UV to F160W in the infrared. Furthermore, the
11-year baseline between these data and a 2002 ACS survey has allowed
us to more than double the proper-motion accuracy and triple the
number of well-measured stars compared to our previous groundbreaking
effort. This totally unprecedented complete spectral coverage for over
470$\,$000 stars within the cluster's core, from the tip of the
red-giant branch down to the white dwarfs, provides the best
astro-photometric observational data base yet to understand the
multiple-population phenomenon in any GC. In this first paper of the
series we describe in detail the data-reduction processes and deliver
the astro-photometric catalog to the astronomical community.