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II.C.239

From Li & Liao (2017)

II.C.239 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.07 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 1607), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0305 of each other at a top speed of 5.74, line up 154 times a period, and the computed loop closes to 1.9×10⁻²⁶.

Measured over one period

Period: 164.0744044
Masses: 1 : 1 : 1
Energy: -1.27725
Angular momentum: 0
Closest approach: 0.03045
Top speed: 5.740
Path length: 422.85
Alignments per period: 154
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 1607)
Loop closure: 1.9×10⁻²⁶

Neighbours on the map

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