Three Body Orbits

Families / Belgrade classes

Yarn VI orbits

Dense skeins of thread wound around a hollow core.

Yarn VI orbits are periodic solutions of the planar three-body problem. The atlas holds 6 of them, with periods from 29.71 to 112.8, 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 Yarn VI.4.A

All 6 orbits

Yarn VI.4.A, a periodic three-body orbitYarn VI.4.AT 29.71 stableYarn VI.6.A, a periodic three-body orbitYarn VI.6.AT 55.50Yarn VI.6.B, a periodic three-body orbitYarn VI.6.BT 55.71Yarn VI.6.C, a periodic three-body orbitYarn VI.6.CT 55.96Yarn VI.12.A, a periodic three-body orbitYarn VI.12.AT 112.8Yarn VI.14.A, a periodic three-body orbitYarn VI.14.AT 94.01