A particle of mass m moves subject to a central force whose potential is V (r) = Kr3, K > 0. 1. For what kinetic energy and angular momentum will the orbit be a circle of radius a about the origin? 2. What is the period T of this circular motion? 3. If the motion is slightly disturbed from this circular orbit, what will be the period of small radial oscillations about r = a? Express through T. 1 {