Atlas2,026 of 3,942

II.C.162

From Li & Liao (2017)

II.C.162 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 186.57 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 1.149), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000399 of each other at a top speed of 50.1, line up 274 times a period, and the computed loop closes to 4.8×10⁻²⁵.

Measured over one period

Period: 186.5727492
Masses: 1 : 1 : 1
Energy: -1.65623
Angular momentum: 0
Closest approach: 4.0×10⁻⁴
Top speed: 50.08
Path length: 467.15
Alignments per period: 274
Topology: ababABAbabaBABababABAbabaBABababABAbabaBABababABAbabABABababABAbabaBABabaBABAbabABABababABAbabABABabaBABAbabABABabaBABababABABabaBABAbabABAbabaBABababABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.149)
Loop closure: 4.8×10⁻²⁵

Neighbours on the map

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