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II.C.193

From Li & Liao (2017)

II.C.193 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 22.401 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 2893), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0202 of each other at a top speed of 7.17, line up 50 times a period, and the computed loop closes to 6.4×10⁻²⁸.

Measured over one period

Period: 22.40131731
Masses: 1 : 1 : 1
Energy: -2.22154
Angular momentum: 0
Closest approach: 0.02019
Top speed: 7.175
Path length: 68.763
Alignments per period: 50
Topology: ababABAbabABabaBABAbabABabaBAB (free-group class)
Stability: unstable (|λ|max 2893)
Loop closure: 6.4×10⁻²⁸

Neighbours on the map

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