The radiation-driven warping instability discovered by Pringle holds c
onsiderable promise as the mechanism responsible for producing warped,
precessing accretion disks in X-ray binaries. This instability is an
inherently global mode of the disk, thereby avoiding the difficulties
with earlier models for the precession. Here we follow up on earlier w
ork to study the linear behavior of the instability in the specific co
ntext of a binary system. We treat the influence of the companion as a
n orbit-averaged quadrupole torque on the disk. The presence of this e
xternal torque allows the existence of solutions in which the directio
n of precession of the warp is retrograde with respect to disk rotatio
n, in addition to the prograde solutions that exist in the absence of
external torques.