Choreographic Motions of N Bodies

Carles Simó developed the dynamic motion of orbits of three, four, and five bodies. The original Demonstration of three bodies by Michael Trott has been extended to four and five bodies with data provided by Carles Simó. The three-body orbit has been shown to be stable, but all other orbits are unstable. In all cases, the mass of each body is one and the period of the orbits is .