Atlas3,908 of 3,942

SN.23

From Šuvakov (2026). Thirteen equal-mass orbits with angular momentum from Milovan Šuvakov’s own searches, shared with this atlas.

SN.23 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 10.008 time units. 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. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0635 of each other at a top speed of 3.93, line up 18 times a period, and the computed loop closes to 4.3×10⁻²⁷.

Measured over one period

Period: 10.00759120
Masses: 1 : 1 : 1
Energy: -1.92286
Angular momentum: -0.27953
Closest approach: 0.06355
Top speed: 3.926
Path length: 28.773
Alignments per period: 18
Topology: abAB (free-group class, read from the drawing, shape period T/3)
Stability: stable (|λ|max 1.000)
Loop closure: 4.3×10⁻²⁷

Neighbours on the map

All Šuvakov’s other orbits, the families of periodic three-body orbits, or the atlas map.