Periodic Planar Collisionless Three Body Orbits With Unequal Mass
The 1349 periodic orbits of planar three-body problem with unequal mass and zero angular momentum
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.
Maximum value of period:
All initial velocities:
Use NBodySimulation to solve an orbit:
Plot in a "shape sphere" using Jacobi three-body coordinates:
Plot orbits from different families:
"Periodic Planar Collisionless Three Body Orbits With Unequal Mass"
from the Wolfram Data Repository
Data Resource History