A particle of mass m is projected from point A with an initial velocity v0 perpendicular t...

A particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r = r0/(2 - cos θ). Using Eq. (12.37), show that F is inversely proportional to the square of the distance r from the particle to the center of force O.