Three Body Orbits

Families / Belgrade classes

Moth VIIb orbits

Related moths with a different winding of the outer lobes.

Moth VIIb orbits are periodic solutions of the planar three-body problem. The atlas holds 12 of them, with periods from 26.92 to 88.05, all with equal masses; 6 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)

See them on the mapOpen Moth VIIb.7.A

All 12 orbits

Moth VIIb.4.A, a periodic three-body orbitMoth VIIb.4.AT 26.92Moth VIIb.7.A, a periodic three-body orbitMoth VIIb.7.AT 33.87 stableMoth VIIb.7.B, a periodic three-body orbitMoth VIIb.7.BT 44.93Moth VIIb.9.A, a periodic three-body orbitMoth VIIb.9.AT 53.47 stableMoth VIIb.10.A, a periodic three-body orbitMoth VIIb.10.AT 46.13 stableMoth VIIb.13.A, a periodic three-body orbitMoth VIIb.13.AT 61.84 stableMoth VIIb.15.A, a periodic three-body orbitMoth VIIb.15.AT 67.39Moth VIIb.15.B, a periodic three-body orbitMoth VIIb.15.BT 64.92Moth VIIb.16.A, a periodic three-body orbitMoth VIIb.16.AT 75.02Moth VIIb.17.A, a periodic three-body orbitMoth VIIb.17.AT 74.79 stableMoth VIIb.18.A, a periodic three-body orbitMoth VIIb.18.AT 85.93Moth VIIb.20.A, a periodic three-body orbitMoth VIIb.20.AT 88.05 stable