It should be remembered that the motion that will be used will always have an effect on gravity. There are two types of circular motion available. One is called Uniform Circular Motion or UCM and the other one is Non-Uniform Circular Motion.
Any object that is going in a circular motion will have a constant speed. Some would like to compute for the period of circular motion. This is the length of time that will show long it takes before something can be completed in one full circular motion. The formula in order to compute for this is √4π^2R/a.