The Gaia-Kepler Stellar Properties Catalog. I. Homogeneous Fundamental
  Properties for 186,301 Kepler Stars
  An accurate and precise Kepler Stellar Properties Catalog is essential for
the interpretation of the Kepler exoplanet survey results. Previous Kepler
Stellar Properties Catalogs have focused on reporting the best-available
parameters for each star, but this has required combining data from a variety
of heterogeneous sources. We present the Gaia-Kepler Stellar Properties
Catalog, a set of stellar properties of 186,301 Kepler stars, homogeneously
derived from isochrones and broadband photometry, Gaia Data Release 2
parallaxes, and spectroscopic metallicities, where available. Our photometric
effective temperatures, derived from $g-K_s$ colors, are calibrated on stars
with interferometric angular diameters. Median catalog uncertainties are 112 K
for $T_{\mathrm{eff}}$, 0.05 dex for $\log g$, 4% for $R_\star$, 7% for
$M_\star$, 13% for $\rho_\star$, 10% for $L_\star$, and 56% for stellar age.
These precise constraints on stellar properties for this sample of stars will
allow unprecedented investigations into trends in stellar and exoplanet
properties as a function of stellar mass and age. In addition, our homogeneous
parameter determinations will permit more accurate calculations of planet
occurrence and trends with stellar properties.
