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Choreography SC.192

From Simó (2001)

Choreography SC.192 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 14.118 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 15822), so a small nudge makes it unravel over a few periods. The bodies pass within 0.06 of each other at a top speed of 4.79, line up 96 times a period, and the computed loop closes to 2.9×10⁻²⁷.

Measured over one period

Period: 14.11761022
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 0.85109
Closest approach: 0.06005
Top speed: 4.794
Path length: 64.714
Alignments per period: 96
Stability: unstable (|λ|max 1.6×10¹⁷)
Loop closure: 2.9×10⁻²⁷

Neighbours on the map

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