  We show that under certain astrophysical conditions a binary system
consisting of two compact objects can be stabilized against indefinite
shrinking of orbits due to the emission of gravitational radiation. In this
case, the lighter binary companion settles down to a stable orbit when the loss
of the angular momentum due to gravitational radiation becomes equal to its
gain from the accreting matter from the disk around the more massive primary.
We claim that such systems can be stable against small perturbations and can be
regarded as steady emitters of gravitational waves of constant frequency and
amplitude. Furthermore, X-rays emitted by the secondary can also produce
astrophysically interesting situations when coupled with gravitational lensing
and Doppler effects.
