Well let's see: Centripetal force = (speed²) / (radius of the circle)
So when there's a centripetal force driving an object in a circular path, the square of the object's speed is directly proportional to the force, and the radius of the circle is inversely proportional to the force.
So this means that . . .
-- if the centripetal force increases, then the object can whiz around a smaller circle at the same speed, and
-- if the centripetal force decreases, then the object will move out to a bigger circle at the same speed.
