A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses

The periodic solutions can be further classified as simple choreographic solutions, double choreographic solutions and non-choreographic solutions. Among the many stable simple choreographic orbits, the most extraordinary one is the stable star pentagon choreographic solution when (θ,μ)=(4π5,1). Remarkably the unequal-mass variants of the stable star pentagon are just as stable as the equal mass choreographies.