Study of open cluster King 13 using CCD VI, 2MASS and Gaia DR2
  Astrometry
  In this paper, we present astrophysical parameters of the open cluster King
13 based on the VI CCD and 2MASS JHKs photometric data. This is a poorly
studied cluster, for which new results have been found in the present work. To
identify probable members, we use proper motion data from Gaia DR2 catalogue.
The mean proper motion of the cluster is determined as -2.8 \pm 0.2 and -0.88
\pm 0.14 mas yr{-1} and cluster extent is derived as 3'.2. Using
color-magnitude diagrams, we estimate the age and distance of the cluster as
510 \pm 60 Myr and 3.84 \pm 0.15 kpc respectively. Interstellar reddening
E(B-V) in the direction of the cluster is determined as 0.80 \pm 0.2 mag using
color-color diagram. Mass function slope of the cluster is found to be
comparable with the Salpeter value. The total mass of this cluster is derived
as 270 M_{\odot}. The present analysis shows that King 13 is a dynamically
relaxed cluster.
