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II.C.108

From Li & Liao (2017)

II.C.108 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 107.69 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 2273), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000503 of each other at a top speed of 44.7, line up 152 times a period, and the computed loop closes to 6.2×10⁻²⁴.

Measured over one period

Period: 107.6906932
Masses: 1 : 1 : 1
Energy: -1.67016
Angular momentum: 0
Closest approach: 5.0×10⁻⁴
Top speed: 44.70
Path length: 296.19
Alignments per period: 152
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabABabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABAbaBAbaBABabAB (free-group class)
Stability: unstable (|λ|max 2273)
Loop closure: 6.2×10⁻²⁴

Neighbours on the map

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