Atlas2,083 of 3,942

II.C.272

From Li & Liao (2017)

II.C.272 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 170.71 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 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000117 of each other at a top speed of 293, line up 292 times a period, and the computed loop closes to 4.2×10⁻²².

Measured over one period

Period: 170.7060517
Masses: 1 : 1 : 1
Energy: -1.81788
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 293.0
Path length: 426.61
Alignments per period: 292
Topology: ababABAbabaBABAbabaBABababABABababABABababABABababABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 4.2×10⁻²²

Neighbours on the map

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