Three Body Orbits

Families / Belgrade classes

Dragonfly II orbits

Slim, elongated wings that stretch far from the centre of mass.

Dragonfly II orbits are periodic solutions of the planar three-body problem. The atlas holds 16 of them, with periods from 21.27 to 96.87, all with equal masses; 3 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 Dragonfly II.11.A

All 16 orbits

Dragonfly II.4.A, a periodic three-body orbitDragonfly II.4.AT 21.27Dragonfly II.6.A, a periodic three-body orbitDragonfly II.6.AT 33.64Dragonfly II.8.A, a periodic three-body orbitDragonfly II.8.AT 38.06Dragonfly II.11.A, a periodic three-body orbitDragonfly II.11.AT 63.53 stableDragonfly II.14.A, a periodic three-body orbitDragonfly II.14.AT 82.14Dragonfly II.14.B, a periodic three-body orbitDragonfly II.14.BT 68.99Dragonfly II.15.A, a periodic three-body orbitDragonfly II.15.AT 79.15 stableDragonfly II.15.B, a periodic three-body orbitDragonfly II.15.BT 71.73Dragonfly II.15.C, a periodic three-body orbitDragonfly II.15.CT 72.40Dragonfly II.15.D, a periodic three-body orbitDragonfly II.15.DT 81.60Dragonfly II.16.A, a periodic three-body orbitDragonfly II.16.AT 95.81Dragonfly II.16.B, a periodic three-body orbitDragonfly II.16.BT 86.88Dragonfly II.17.A, a periodic three-body orbitDragonfly II.17.AT 96.87Dragonfly II.17.B, a periodic three-body orbitDragonfly II.17.BT 83.68 stableDragonfly II.17.C, a periodic three-body orbitDragonfly II.17.CT 95.29Dragonfly II.17.D, a periodic three-body orbitDragonfly II.17.DT 94.20