Atlas1,906 of 3,942

II.C.257

From Li & Liao (2017)

II.C.257 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 168.59 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 106.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000659 of each other at a top speed of 39, line up 212 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 168.5910028
Masses: 1 : 1 : 1
Energy: -1.50680
Angular momentum: 0
Closest approach: 6.6×10⁻⁴
Top speed: 39.00
Path length: 416.88
Alignments per period: 212
Topology: ababABababABAbabABAbabABAbabaBABabaBABabaBABababABababABAbabABAbabABABabaBABabaBABabaBABAbaBABAbabABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 106.4)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.