Find K/Ug: Solving a Constant Ratio of Kinetic and Potential Energy

[Physics Help!]

I don't really know how to approach this problem...
A satellite is in a circular orbit around its parent body. The ratio of the satellite's kinetic energy to its potential energy, K/Ug, is a constant independent of the masses of the satellite and parent, and of the radius and velocity of the orbit. Find the value of this constant. Potential energy is taken to be zero at infinite separation.

 

[eshaw]

$$F = -\frac{dU}{dr} = \frac{mv^2}{r}$$

From these relations you should be able to calculate this easily. Using the equations for gravitational and centripetal force to find U and K.