Atlas1,983 of 3,942

II.C.293

From Li & Liao (2017)

II.C.293 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.84 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.742), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000151 of each other at a top speed of 81.5, line up 374 times a period, and the computed loop closes to 4.6×10⁻²⁴.

Measured over one period

Period: 185.8437676
Masses: 1 : 1 : 1
Energy: -2.04128
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 81.52
Path length: 514.34
Alignments per period: 374
Topology: ababABAbabaBABababABAbabaBABababABAbabaBABababABAbabaBABababABABabaBABababABAbabaBABAbabABAbabaBABababABABabaBABAbabABAbabaBABAbabABABabaBABAbabABABabaBABAbabaBABabaBABAbabABABababABAbabaBABabaBABAbabaBABababABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 1.742)
Loop closure: 4.6×10⁻²⁴

Neighbours on the map

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