Atlas1,861 of 3,942

II.C.192

From Li & Liao (2017)

II.C.192 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 16.82 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 36892), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00184 of each other at a top speed of 23.4, line up 46 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 16.81971195
Masses: 1 : 1 : 1
Energy: -2.43046
Angular momentum: 0
Closest approach: 0.001837
Top speed: 23.35
Path length: 44.087
Alignments per period: 46
Topology: aaabABABabbbaBAABababABBAb (free-group class)
Stability: unstable (|λ|max 36892)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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