An axially symmetric space vehicle with It/Ia= 10 is undergoing a general torque-free motion. The angle between the angular momentum vector H and the axis of symmetry is 45 deg. At some instant during the motion, symmetrically placed masses are moved slowly toward the axis of symmetry by internal forces. At the end of this process, the rotational kinetic energy is found to be three times its former value, whereas Ia is halved and It is 80% of its original size. Determine the final angle between H and the symmetry axis.