Consequently, there are two possibilities: either the rigid body's second major axis is in the same direction, or it has reversed direction. If it is still in the same direction, then ω ω → → ( 0 ) , ω ω → → ( T / 2 ) viewed in the rigid body's reference frame are also mostly in the same direction. However, we have just seen that ω ω ( 0 ) and ω ω ( T / 2 ) are near opposite saddle points ( 0 , ± ± L / I 2 , 0 ) . Contradiction.