The Galaxy Kinematics from OB Stars with Proper Motions from the Gaia
  DR1 Catalog
  We consider two previously studied samples of OB stars with different
distance scales. The first one consists of 98 massive spectroscopic binary
stars with photometric distances, and the second one consists on 140 OB stars
with the distances determined along the lines of interstellar calcium. The OB
stars are located at distances up to 7 kpc from the Sun. They are identified
with the Gaia DR1 catalog. It is shown that the use of the proper motions,
taken from the Gaia DR1 catalog, allows to reduce random errors of
determination of the Galactic rotation parameters in comparison with the
previously known ones. From the analysis of 208 OB stars from the Gaia DR1
catalog with proper motions and parallaxes with relative errors less than 200%
we found the Galactic kinematic parameters. In addition the Galactic rotation
parameters were obtained from only line-of-sight velocities of the same stars.
From the comparison of the two values of \Omega^{'}_0 a distance scale of the
Gaia DR1 catalog was determined as a value close to unit, namely 0.96. From 238
OB-stars of the united sample with photometric distances for stars of the first
sample and distances in the calcium scale for stars of the second sample,
line-of-sight velocities and proper motions from the Gaia DR1 catalog, were
found the following kinematic parameters:
(U,V,W)_\odot=(8.19,9.28,8.79)+/-(0.74,0.92,0.74) km/s, \Omega_0=31.53+/-0.54
km/s/kpc, \Omega^{'}_0=-4.44+/-0.12 km/s/kpc^2, \Omega^{"}_0=0.706+/-0.100
km/s/kpc^3, here Oort constants: A=-17.77+/-0.46 km/s/kpc, B=13.76+/-0.71
km/s/kpc and V_0=252+/-8 km/s.
