  We extend previous studies of the tidal truncation of coplanar disks in
binary systems to the more general case of noncoplanar disks. As in the
prograde coplanar case, Lindblad resonances play a key role in tidal
truncation. We analyze the tidal torque acting on a misaligned nearly circular
disk in a circular orbit binary system. We concentrate on the 2:1 inner
Lindblad resonance associated with the m=2 tidal forcing (for azimuthal
wavenumber m) that plays a major role in the usual coplanar case. We determine
the inclination dependence of this torque, which is approximately cos^8(i/2)
for misalignment angle i. Compared to the prograde coplanar case (i=0), this
torque decreases by a factor of about 2 for i = pi/6 and by a factor of about
20 for i=pi/2. The Lindblad torque decreases to zero for a tilt angle of pi
(counter-rotation), consistent with previous investigations. The effects of
higher order resonances associated with m>2 tidal forcing may contribute
somewhat, but are much more limited than in the i=0 case. These results suggest
that misaligned disks in binary systems can be significantly extended compared
to their coplanar counterparts. In cases where a disk is sufficiently inclined
and viscous, it can overrun all Lindblad resonances and overflow the Roche lobe
of the disk central object.

Solar and Stellar Astrophysics;Earth and Planetary Astrophysics