Three Body Orbits

Families / Belgrade classes

Šuvakov’s other orbits

Thirteen equal-mass orbits with angular momentum from Milovan Šuvakov’s own searches, shared with this atlas in September 2026. Seven are the figure-eight carried to nonzero angular momentum, its 1/5 to 2/3 resonances, all linearly stable; four lie on a branch that ends, at zero angular momentum, in Broucke’s isosceles collision orbit; two branch off Broucke’s A family. Numbered as in his file.

Šuvakov’s other orbits are periodic solutions of the planar three-body problem. The atlas holds 13 of them, with periods from 3.494 to 18.71, all with equal masses; 7 of them are linearly stable. They come from Šuvakov (2026), Newtonian periodic three-body orbits with angular momentum. 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 (2026). Newtonian periodic three-body orbits with angular momentum. Personal communication, September 2026

See them on the mapOpen SN.17

All 13 orbits

SN.6, a periodic three-body orbitSN.6T 13.14SN.9, a periodic three-body orbitSN.9T 3.494SN.11, a periodic three-body orbitSN.11T 12.49SN.12, a periodic three-body orbitSN.12T 9.388SN.13, a periodic three-body orbitSN.13T 7.172SN.14, a periodic three-body orbitSN.14T 9.414SN.17, a periodic three-body orbitSN.17T 18.71 stableSN.18, a periodic three-body orbitSN.18T 14.92 stableSN.19, a periodic three-body orbitSN.19T 11.10 stableSN.20, a periodic three-body orbitSN.20T 18.32 stableSN.21, a periodic three-body orbitSN.21T 7.162 stableSN.22, a periodic three-body orbitSN.22T 17.27 stableSN.23, a periodic three-body orbitSN.23T 10.01 stable