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Choreography SC.141

From Simó (2001)

Choreography SC.141 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 12.795 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 12051), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0321 of each other at a top speed of 6.13, line up 66 times a period, and the computed loop closes to 4.4×10⁻²⁸.

Measured over one period

Period: 12.79535125
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.0906
Closest approach: 0.03206
Top speed: 6.128
Path length: 59.097
Alignments per period: 66
Stability: unstable (|λ|max 1.2×10¹¹)
Loop closure: 4.4×10⁻²⁸

Neighbours on the map

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