I found that if you stare long enough she switches from CW to CCW but you have to stare a while for this to happen. Or it could be that she really does switch her rotation and this is just to make people nuts!
If you will focus away from her (I look at my 'favorites' star, and use the up/down form of peripheral vision (don't know what that would be called), ANYWAY, focus away from her and she will do what she really is doing, shifting back and forth from one side to the other, as opposed to rotating... Try it, You'll like it!!! (and it still ain't no danged warmer in there!!! ) :hurray::hurray::hurray::hurray: