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SN.11

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

SN.11 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 12.485 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 unstable (largest Floquet multiplier 65.73), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0318 of each other at a top speed of 5.61, line up 24 times a period, and the computed loop closes to 3.4×10⁻²⁸.

Measured over one period

Period: 12.48534529
Masses: 1 : 1 : 1
Energy: -2.04995
Angular momentum: -0.060461
Closest approach: 0.03177
Top speed: 5.611
Path length: 38.204
Alignments per period: 24
Topology: unresolved (close passages hide the crossings in the drawing)
Stability: unstable (|λ|max 65.73)
Loop closure: 3.4×10⁻²⁸

Neighbours on the map

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