Atlas1,982 of 3,942

II.C.158

From Li & Liao (2017)

II.C.158 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 129.57 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 1.075), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000856 of each other at a top speed of 108, line up 260 times a period, and the computed loop closes to 4.5×10⁻¹⁷.

Measured over one period

Period: 129.5705476
Masses: 1 : 1 : 1
Energy: -2.04063
Angular momentum: 0
Closest approach: 8.6×10⁻⁵
Top speed: 108.1
Path length: 361.21
Alignments per period: 260
Topology: ababABAbabaBABababABAbabaBABababABAbabABABabaBABAbabABABabaBABababABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABababABAbabABABabaBABAbabABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.075)
Loop closure: 4.5×10⁻¹⁷

Neighbours on the map

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