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II.C.189

From Li & Liao (2017)

II.C.189 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 13.37 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 333.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0316 of each other at a top speed of 5.93, line up 30 times a period, and the computed loop closes to 1.1×10⁻²⁸.

Measured over one period

Period: 13.36971144
Masses: 1 : 1 : 1
Energy: -2.23210
Angular momentum: 0
Closest approach: 0.03156
Top speed: 5.930
Path length: 41.229
Alignments per period: 30
Topology: ababABAbabABabaBAB (free-group class)
Stability: unstable (|λ|max 333.9)
Loop closure: 1.1×10⁻²⁸

Neighbours on the map

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