  As compact binary star systems move inside the halo of the galaxies, they
interact with dark matter particles. The interaction between dark matter
particles and baryonic matter causes dark matter particles to lose some part of
their kinetic energy. Once dark matter particles lose part of their kinetic
energy, they are gravitationally bound to stars, and stars start to absorb dark
matter particles from the halo. The absorption of dark matter particles inside
compact binary systems increases the mass of the binary components, and then
the total mass of the binary systems increases as well. According to Kepler's
third law, increased mass through this way can affect other physical parameters
(e.g., semi-major axes and orbital periods) of these systems too. We estimate
the period change of some known compact binary systems due to the accretion of
dark matter particles into them. We investigate the effects of different dark
matter particle candidates with masses in the range $\simeq 10^{-9} - 10^{5} \:
(GeV.c^{-2})$ and dark matter density as high as the dark matter density near
the Galactic central regions. We find that the estimated change of period due
to the accretion of dark matter particles into compact binary systems can be as
large as the measured values for these systems.
