About the only thing that seems logical is that the sphere is going to be pre-disposed to orienting in a heavy side down configuration. It seems that looking at the x,y, an z components of the rotation is the best approach, but beyond that, I am at a loss.
I am trying to find the best way to determine whether a spherical shell would stabilize in a certain orientation when falling.
Assumptions I need to take into account:
The sphere is spinning with some random angualr velocity for each axis
The density of the shell is higher at the +x extreme...