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
Snapshots
Details
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.
Permanent Citation
Planar Three-Body Problem
Michael Trott
Three-Body Problem in 3D
Jeff Bryant and José Martin?Garcia
Planar Three-Body Problem in Phase Space
Michael Trott
Restricted Three-Body Problem
Robert M Lurie
The Celestial Two-Body Problem
S. M. Blinder
Restricted Three-Body Problem in 3D
Enrique Zeleny
Anomalies for Planetary Motion
Thomas Müller
Chaotic Motion of a Damped Driven Pendulum: Bifurcation, Poincaré Map, Power Spectrum, and Phase Portrait
Nasser M. Abbasi
Complex Addition of Harmonic Motions and the Phenomenon of Beats
Frederick Wu
Rigid Body Pendulum on a Flywheel
Nasser M. Abbasi
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Chaos While Sledding on a Bumpy Slope
Robert M Lurie -
Numerical Integration of the Logistic Equation Using Runge-Kutta Methods
Robert M Lurie -
Sledding on a Bumpy Slope: Chaos and Strange Attractor
Robert M Lurie -
Classic Logistic Map
Robert M Lurie -
Restricted Three-Body Problem
Robert M Lurie -
Choreographic Motions of N Bodies
Robert M Lurie