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SN.18

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

SN.18 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 14.921 time units, published by Šuvakov (2026). 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 0.311 of each other at a top speed of 1.77, line up 24 times a period, and the computed loop closes to 1.2×10⁻²⁹.

Measured over one period

Period: 14.92107673
Masses: 1 : 1 : 1
Energy: -1.82467
Angular momentum: -0.082701
Closest approach: 0.3114
Top speed: 1.768
Path length: 46.033
Alignments per period: 24
Stability: stable (|λ|max 1.000)
Loop closure: 1.2×10⁻²⁹

Neighbours on the map

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