The above analysis is all done in the perspective of an observer which is rotating with the body. An observer watching the body's motion in free space would see its angular momentum vector L → → = I ω ω → → conserved, while both its angular velocity vector ω ω → → ( t ) and its moment of inertia I ( t ) undergoing complicated motions in space. At the beginning, the observer would see both ω ω → → ( 0 ) , L → → mostly aligned with the second major axis of I ( 0 ) . After a while, the body performs a complicated motion and ends up with I ( T / 2 ) , ω ω → → ( T / 2 ) , and again both L → → , ω ω → → ( T / 2 ) are mostly aligned with the second major axis of I ( T / 2 ) .