Progress on the 3-body problem

The three-body problem involves finding the possible orbits for a set of three celestial bodies all affecting each other gravitationally. For example, a triple star system like HD 188753, seen here in a NASA artist’s impression (as viewed from a hypothetical moon of a possible planet):

The three-body problem has posed a challenge since Isaac Newton. A recent paper by Milovan Šuvakov and Veljko Dmitrašinovic, entitled “Three Classes of Newtonian Three-Body Planar Periodic Orbits” and accepted for publication in Physical Review Letters, presents several new families of solutions to the gravitational equations. Here are two of the solutions – the “Figure 8” (previously discovered by Cristopher Moore in 1993), and the “Ying-Yang 1a” (one of those discovered by Šuvakov and Dmitrašinovic):

Some of those orbits border on the chaotic! See also the draft paper by Šuvakov and Dmitrašinovic here and their gallery of images here.