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II.C.23

From Li & Liao (2017)

II.C.23 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 67.586 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 22.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.014 of each other at a top speed of 8.45, line up 66 times a period, and the computed loop closes to 5.4×10⁻²⁷.

Measured over one period

Period: 67.58640180
Masses: 1 : 1 : 1
Energy: -1.31025
Angular momentum: 0
Closest approach: 0.01405
Top speed: 8.448
Path length: 173.20
Alignments per period: 66
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 22.50)
Loop closure: 5.4×10⁻²⁷

Neighbours on the map

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