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II.C.81

From Li & Liao (2017)

II.C.81 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 89.272 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 274.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000486 of each other at a top speed of 143, line up 116 times a period, and the computed loop closes to 3.7×10⁻²³.

Measured over one period

Period: 89.27215035
Masses: 1 : 1 : 1
Energy: -1.55024
Angular momentum: 0
Closest approach: 4.9×10⁻⁵
Top speed: 143.4
Path length: 229.49
Alignments per period: 116
Topology: ababABabaBABabaBABabaBABabaBABabaBABabABAbabABAbabABAbabABAbabABAbabAB (free-group class)
Stability: unstable (|λ|max 274.2)
Loop closure: 3.7×10⁻²³

Neighbours on the map

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