Atlas3,457 of 3,942

Choreography SC.283

From Simó (2001)

Choreography SC.283 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 16.263 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 24203), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0211 of each other at a top speed of 7.45, line up 96 times a period, and the computed loop closes to 2.3×10⁻²⁴.

Measured over one period

Period: 16.26349026
Masses: 1 : 1 : 1
Energy: -4.50000
Angular momentum: 1.0560
Closest approach: 0.02112
Top speed: 7.452
Path length: 72.116
Alignments per period: 96
Topology: unresolved (close passages hide the crossings in the drawing)
Stability: unstable (|λ|max 2.4×10¹⁵)
Loop closure: 2.3×10⁻²⁴

Neighbours on the map

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