Atlas3,557 of 3,915

Choreography SC.188

From Simó (2001)

Choreography SC.188 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 14.034 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 3.4257e+22), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0537 of each other at a top speed of 4.94, line up 60 times a period, and the computed loop closes to 3.9×10⁻²⁶.

Measured over one period

Period: 14.03369940
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.1059
Closest approach: 0.05374
Top speed: 4.944
Path length: 67.475
Alignments per period: 60
Stability: unstable (|λ|max 3.4×10²²)
Loop closure: 3.9×10⁻²⁶

Neighbours on the map

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