3.5 Show that if a particle under the influence of a central force has an orbit which is a circle passing through the point of attraction, then the force is a power law with F| or . Assuming the potential is defined so that U(co) = 0, show that for this particular orbit E = 0. In terms of the diameter and the angular momentum, find the period, and by expressing x, y and the speed as a function of the angle measured from the center of the circle, and its derivative, show that x, y and the speed all go to infinity as the particle passes through the center of force