The term "moving circle" can refer to any number of things, such as a rotating planet, the movement of wheels or gears in machinery, or the circular pattern made by a spinning top. Some synonyms for "moving circle" might include revolving, rotating, spinning, orbiting, circling, or whirling. These terms all suggest a circular movement or motion of some kind, and could be used to describe anything from the movement of celestial bodies to the workings of a clock or other mechanical device. Ultimately, the specific synonym chosen will depend on the context in which the phrase is being used.