Recently Discovered Periodic Solutions of the Three-Body Problem

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 [1]; one of these is shown in Figure 8. Recently 13 new solutions were found by a combination of numerical search and a topological method [2]. The solutions are presented in 2D and on a "shape sphere" using Jacobi three-body coordinates [3]. The red dots on the shape sphere are related to the three two-body collision points.

[2] M. Šuvakov and V. Dmitrašinović, "Three Classes of Newtonian Three-Body Planar Periodic Orbits," Physical Review Letters110(11), 114301, 2013. arxiv.org/abs/1303.0181.

[3] Institute of Physics, Belgrade. "Three-Body Gallery." (Jul 2, 2013) suki.ipb.ac.rs/3body.