Atlas3,542 of 3,915

Choreography SC.319

From Simó (2001)

Choreography SC.319 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 16.565 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 12957), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0318 of each other at a top speed of 6.2, line up 78 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 16.56483711
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.1007
Closest approach: 0.03175
Top speed: 6.200
Path length: 76.751
Alignments per period: 78
Stability: unstable (|λ|max 1.3×10¹⁸)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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