What basic types of stable orbits are there for sets of objects of equal mass? For example, with one object it would just be stationary, with two objects they would rotate at equal speed around a common centre with a constant distance between them (and more complicated stable orbits where the distance oscillates). What about with three objects and more? I assume for each set there would be an orbit where each object moves around the common centre of gravity in some fashion, such that from the perspective of each object the movement of the other objects is the same. What other types of basic stable orbits are there? What would be the best way to generalise all the types of orbits for each number of objects? Is there a way to visualise these types of orbits? If anyone can provide any other examples at all, or answer any of these questions, that would be great.