Families / Belgrade classes
Figure-8 orbits
Three equal masses chase each other along a single figure-eight curve, the most famous choreography.
Figure-8 orbits are periodic solutions of the planar three-body problem. The atlas holds 28 of them, with periods from 6.291 to 92.18, all with equal masses; 7 of them are linearly stable. They come from Šuvakov & Dmitrašinović (2013), Three classes of Newtonian three-body planar periodic orbits. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.
Šuvakov & Dmitrašinović (2013). Three classes of Newtonian three-body planar periodic orbits. Physical Review Letters 110, 114301 (doi)
All 28 orbits
Figure-8 V.1.A
Figure-8 V.1.B
Figure-8 V.4.Aα
Figure-8 V.4.Aβ
Figure-8 V.5.A
Figure-8 V.7.A
Figure-8 V.7.B
Figure-8 V.7.C
Figure-8 V.7.D
Figure-8 V.8.A
Figure-8 V.8.B
Figure-8 V.11.A
Figure-8 V.11.B
Figure-8 V.12.A
Figure-8 V.14.A
Figure-8 V.15.A
Figure-8 V.16.A
Figure-8 V.17.A
Figure-8 V.17.B
Figure-8 V.17.C
Figure-8 V.17.D
Figure-8 V.17.E
Figure-8 V.17.F
Figure-8 V.17.G
Figure-8 V.17.H
Figure-8 V.17.I
Figure-8 V.17.J
Figure-8 V.20.A