Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary Black Holes in Stationary Orbits   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.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
3
The categories of this paper are: physics