v = velocity of orbiting particle, g = acceleration due to gravity, r = radius of orbit, G = gravitational constant, M = mass of orbited body
Comments
For a particle in circular orbit, the inward gravitational force mg provides the centripetal force mv2/r necessary to maintain the circular orbit. By cancelling terms, the equation above is obtained.
References
Newtonian Mechanics , A P French, Thomas Nelson & Sons, 1971