The SUPERWIDE Catalog: A Catalog of 99,203 Wide Binaries Found in Gaia
  and Supplemented by the SUPERBLINK High Proper Motion Catalog
  We present a catalog of 99,203 wide binary systems, initially identified as
common proper motion (CPM) pairs from a subset of ~5.2 million stars with
proper motions $\mu > 40$ mas/year, selected from Gaia data release 2 (DR2) and
the SUPERBLINK high proper motion catalog. CPM pairs are found by searching for
pairs of stars with angular separations $< 1$ degree and proper motion
differences $\Delta\mu < 40$ mas/year. A Bayesian analysis is then applied in
two steps. In a first pass, we use proper motion differences and angular
separations to distinguish between binaries and chance alignments. In a second
pass, we use parallax data from Gaia DR2 to refine our Bayesian probability
estimates. We present a table of 119,390 pairs which went through the full
analysis, 99,203 of which have probabilities $>95\%$ of being real binaries. Of
those 99,203 high probability pairs, we estimate that only about 364 pairs are
most likely to be false positives. In addition, we identify 57,506 pairs which
have probabilities $>10\%$ from the first pass but have high parallax errors
and therefore were not vetted in the second pass. We examine the projected
physical separation distribution of our highest probability pairs and note that
the distribution is a simple exponential tail and shows no evidence of being
bi-modal. Among pairs with lower probability, wide binaries are detected at
larger separations ($>10^{4-5}$ AU) consistent with the very wide population
suggested in previous studies, however our analysis suggests that these do not
represent a distinct population. We examine the HR diagram of this set of high
probability wide binaries and find evidence for 980 over-luminous components
among 2,227 K+K wide binaries; assuming these represent unresolved sub-systems,
we determine that the higher order multiplicity fraction for K+K wide systems
is at least 39.6\%.
