For concreteness, consider I 1 = 1 , I 2 = 2 , I 3 = 3 , then the angular momentum ellipsoid's major axes are in ratios of 1 : 1 / 2 : 1 / 3 , and the energy ellipsoid's major axes are in ratios of 1 : 1 / 2 : 1 / 3 . Thus the angular momentum ellipsoid is both flatter and sharper, as visible in the animation. In general, the angular momentum ellipsoid is always more "exaggerated" than the energy ellipsoid.