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II.C.166

From Li & Liao (2017)

II.C.166 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 191.67 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 1.319), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00031 of each other at a top speed of 56.8, line up 278 times a period, and the computed loop closes to 5.0×10⁻²⁵.

Measured over one period

Period: 191.6726454
Masses: 1 : 1 : 1
Energy: -1.67639
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 56.82
Path length: 519.19
Alignments per period: 278
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBABabaBAbabABAbabABAbaBABabaBAbabABAbabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.319)
Loop closure: 5.0×10⁻²⁵

Neighbours on the map

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