Planar Three-Body Problem

Trajectories of three point masses

interacting via Newtonian force fields in 2D (planar three-body problem). This Demonstration allows you to vary the initial positions and velocities of the three bodies and their masses. We start the dance with a choreography by Chenciner and Montgomery.

Contributed by: Michael Trott
Suggested by: Stephen Wolfram

Show Initialization Code

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The three-body problem is one of the simplest mechanical systems that exhibits nonintegrability and chaos. (The two body problem with retardation is conceptually simpler but trickier to calculate.) Depending on the initial conditions, the system exhibits periodic orbits, escape to infinity in finite time, collision singularities, triple collisions, quasi-bound states, …

Three-Body Problem (ScienceWorld)

Chaos (Wolfram MathWorld)

"Planar Three-Body Problem" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PlanarThreeBodyProblem/

Contributed by: Michael Trott

Suggested by: Stephen Wolfram

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