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II.C.116

From Li & Liao (2017)

II.C.116 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 120.05 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 4.104), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00108 of each other at a top speed of 30.5, line up 170 times a period, and the computed loop closes to 4.0×10⁻²⁵.

Measured over one period

Period: 120.0533168
Masses: 1 : 1 : 1
Energy: -1.63772
Angular momentum: 0
Closest approach: 0.001075
Top speed: 30.49
Path length: 315.00
Alignments per period: 170
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 4.104)
Loop closure: 4.0×10⁻²⁵

Neighbours on the map

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