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II.C.143

From Li & Liao (2017)

II.C.143 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 166.16 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 15.89), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00016 of each other at a top speed of 79.2, line up 216 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 166.1586075
Masses: 1 : 1 : 1
Energy: -1.55806
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 79.15
Path length: 433.71
Alignments per period: 216
Topology: abaBAbabABabaBABabaBABabaBAbabABAbaBABabaBAbabABAbabABAbabABabaBAbabABAbabABAbabABabaBABabABAbabABAbaBABabaBABabABAbabABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 15.89)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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