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II.C.167

From Li & Liao (2017)

II.C.167 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 160.21 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 102.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000172 of each other at a top speed of 76.2, line up 290 times a period, and the computed loop closes to 8.3×10⁻²⁵.

Measured over one period

Period: 160.2142759
Masses: 1 : 1 : 1
Energy: -1.92887
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 76.20
Path length: 455.74
Alignments per period: 290
Topology: ababABabaBABababABAbaBABAbabABabaBABAbabABabaBABAbabABabaBABAbabABabaBABAbabABabaBABAbabABabaBABAbabABabaBABAbaBABababABAbabABababABAbaBABabaBABAbaBABababABAbaBABAbabABAbaBAB (free-group class)
Stability: unstable (|λ|max 102.2)
Loop closure: 8.3×10⁻²⁵

Neighbours on the map

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