Atlas3,423 of 3,915

Choreography SC.224

From Simó (2001)

Choreography SC.224 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 15.129 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 4049), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0253 of each other at a top speed of 6.82, line up 90 times a period, and the computed loop closes to 2.3×10⁻²⁶.

Measured over one period

Period: 15.12908113
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.0834
Closest approach: 0.02525
Top speed: 6.824
Path length: 68.030
Alignments per period: 90
Stability: unstable (|λ|max 4.0×10¹²)
Loop closure: 2.3×10⁻²⁶

Neighbours on the map

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