Vilnius Photometry and Gaia Astrometry of Melotte 105
  Archival Vilnius CCD photometric observations are presented for the heavily
reddened star cluster Melotte 105, resulting in colour-magnitude diagrams and
spectral class estimates. There is considerable lack of agreement between
studies for reddening, age, and distance for this cluster explaining why the
archival data are being made available by this paper. The derived reddening
E(B-V =0.34 +/- 0.04 mag and the distance V-M =12.9 +/- 0.3 mag directly from
the Vilnius photometry. The Gaia Data Release 2 (DR2) and Vilnius photometric
data of the cluster were used to estimate the structural parameters of the
cluster, probability of stellar membership in the cluster, the distance modulus
and the cluster age. Lack of $Y$ band observations prevented determination of
metal abundance. The values of the colour excess and distance module are
determined by two different methods (i.e., Q and Zero Age Main Sequence, or
ZAMS, methods). A distance modulus of 12.85 +/- 0.07 mag was derived by ZAMS
fitting, in good agreement with the above estimate. ZAMS fitting indicates a
reddening of 0.403 +/- 0.02 mag, within two sigma of the estimate above. The
cluster's metallicity and age are estimated to be 0.24 dex and 240 +/-25 Myr,
respectively. The derived mass function is in good agreement with the Salpeter
slope. The cluster space velocity components (U, V, W) were determined as
(-3.90 +/- 3.34, -13.76 +/- 5.69, +3.45 +/- 0.41) km/s. Perigalactic and
apogalactic distances were obtained as R_{p} = 6.85 and R_{a} = 7.44 kpc
respectively. The maximum vertical distance from the Galactic plane was
calculated as Z_{max} = 84 pc and the eccentricity of the orbit was determined
as e = 0.042.
