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The 1349 periodic orbits of planar three-body problem with unequal mass and zero angular momentum
Originator: X. Li, Y. Jing, and S. Liao
The three-body problem seeks solutions for the orbits of three masses under the mutual influence of gravity. Periodic solutions are very hard to find.
(1349 elements)
Extract velocities:
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Maximum value of period:
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All initial velocities:
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Use NBodySimulation to solve an orbit:
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Plot in a "shape sphere" using Jacobi three-body coordinates:
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Plot orbits from different families:
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Enrique Zeleny, "Periodic Planar Collisionless Three Body Orbits With Unequal Mass" from the Wolfram Data Repository (2021)