Atlas3,916 of 3,942

SN.19

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

SN.19 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 11.099 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 0.257 of each other at a top speed of 1.94, line up 18 times a period, and the computed loop closes to 9.0×10⁻³⁰.

Measured over one period

Period: 11.09928446
Masses: 1 : 1 : 1
Energy: -1.83011
Angular momentum: -0.11230
Closest approach: 0.2572
Top speed: 1.937
Path length: 33.937
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: 9.0×10⁻³⁰

Neighbours on the map

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