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Choreography SC.191

From Simó (2001)

Choreography SC.191 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 14.1 time units, published by Simó (2001). Carles Simó’s catalogue of three-body choreographies with nonzero angular momentum, the curves that made choreographies famous. All unstable except the figure-eight. It is unstable (largest Floquet multiplier 5.454700000000001e+25), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0382 of each other at a top speed of 5.53, line up 60 times a period, and the computed loop closes to 5.7×10⁻²⁴.

Measured over one period

Period: 14.10046873
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.0320
Closest approach: 0.03816
Top speed: 5.528
Path length: 66.980
Alignments per period: 60
Topology: unresolved (close passages hide the crossings in the drawing)
Stability: unstable (|λ|max 5.5×10²⁵)
Loop closure: 5.7×10⁻²⁴

Neighbours on the map

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