Atlas1,986 of 3,942

II.C.58

From Li & Liao (2017)

II.C.58 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 81.888 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 1.468), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000154 of each other at a top speed of 255, line up 176 times a period, and the computed loop closes to 1.1×10⁻¹⁷.

Measured over one period

Period: 81.88833376
Masses: 1 : 1 : 1
Energy: -2.12598
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 254.5
Path length: 227.05
Alignments per period: 176
Topology: ababABAbabaBABababABAbabaBABAbabaBABababABAbabaBABababABABababABAbabaBABAbabABABabaBABAbabaBABababABAB (free-group class)
Stability: weakly unstable (|λ|max 1.468)
Loop closure: 1.1×10⁻¹⁷

Neighbours on the map

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