Halo wakes

The top four figures show the vertical force exerted on the disk by the halo wake for m=0,...,3.   The final row of figures shows the disk height response for comparison.  The units in the scalar color bars of the first four figures are system units (not astronomical).

m=0 vertical force from halo wake at disk plane	m=1 vertical force from halo wake at disk plane
m=2 vertical force from halo wake at disk plane	m=3 vertical force from halo wake at disk plane
M=1 disk warp	M=2 disk warp