Celestial Mechanics: Orbits
Cicular Velocity

Circular Velocity: Velocity of an object in a circular orbit around a primary body.

Objects in circular orbits experience a Centripetal Force given by:

Circular orbits occur when the centripetal force is just balanced by the force of gravity:

So that

Note that the circular velocity does not depend on the mass of the secondary object, but only on the mass of the primary!

Note that as the radius increases, so too does the circular velocity