The three-body problem on the computer

Computer Science – Graphics

Scientific paper

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Celestial Mechanics, Computer Graphics, Three Body Problem, Trajectory Analysis, Astronomical Models, Computerized Simulation, Earth-Moon System, Gravitational Effects

Scientific paper

After a review of the mathematical foundations of the three-body problem, computer-generated trajectories of the bodies are presented and explained. It is shown how the third body eventually escapes from the other two bodies. A modified example of the three-body problem is treated in which the earth, the moon, their common center of mass, and a Lagrangian triangulation point are the parameters considered. The utility of the computer displays in teaching is demonstrated.

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