Abstract
Binary stars plays important role in the evolution of stellar populations .
The intrinsic binary fraction ($f_bin$) of O and B-type (OB) stars in LAMOST
DR5 was investigated in this work. We employed a cross-correlation approach to
estimate relative radial velocities for each of the stellar spectra. The
algorithm described by 2013A&A...550A.107S was implemented and several
simulations were made to assess the performance of the approach. Binary
fraction of the OB stars are estimated through comparing the uni-distribution
between observations and simulations with the Kolmogorov-Smirnov tests.
Simulations show that it is reliable for stars most of whom have $6,7$ and $8$
repeated observations. The uncertainty of orbital parameters of binarity become
larger when observational frequencies decrease. By adopting the fixed power
exponents of $\pi=-0.45$ and $\kappa=-1$ for period and mass ratio
distributions, respectively, we obtain that $f_bin=0.4_-0.06^+0.05$ for
the samples with more than 3 observations. When we consider the full samples
with at least 2 observations, the binary fraction turns out to be
$0.37_-0.03^+0.03$. These two results are consistent with each other in
$1\sigma$.
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