Choreographic Motions of N Bodies

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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 .

Contributed by: Robert M Lurie (March 2011)
Based on a program by: Michael Trott
Additional contributions by: Carles Simó
Open content licensed under CC BY-NC-SA



The literature on -body motion is primarily available at the web site of Carles Simó. In addition there is an extensive bibliography.

Dr. Simó kindly and generously provided the data for this Demonstration in much more detail than had previously been found in the available literature.

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