Three Body Orbits

Families / Belgrade classes

Moth VIIa orbits

Symmetric moths whose wings meet along a luminous seam.

Moth VIIa orbits are periodic solutions of the planar three-body problem. The atlas holds 8 of them, with periods from 35.83 to 95.07, all with equal masses; 1 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 VIIa.11.A

All 8 orbits

Moth VIIa.6.A, a periodic three-body orbitMoth VIIa.6.AT 35.83Moth VIIa.7.Aα, a periodic three-body orbitMoth VIIa.7.AαT 47.20Moth VIIa.7.Aβ, a periodic three-body orbitMoth VIIa.7.AβT 46.89Moth VIIa.10.A, a periodic three-body orbitMoth VIIa.10.AT 64.12Moth VIIa.11.A, a periodic three-body orbitMoth VIIa.11.AT 66.35 stableMoth VIIa.13.A, a periodic three-body orbitMoth VIIa.13.AT 86.42Moth VIIa.13.B, a periodic three-body orbitMoth VIIa.13.BT 95.07Moth VIIa.13.C, a periodic three-body orbitMoth VIIa.13.CT 85.39