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II.C.115

From Li & Liao (2017)

II.C.115 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 161.18 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 1904), so a small nudge makes it unravel over a few periods. The bodies pass within 0.019 of each other at a top speed of 7.26, line up 154 times a period, and the computed loop closes to 4.3×10⁻²⁷.

Measured over one period

Period: 161.1788109
Masses: 1 : 1 : 1
Energy: -1.29248
Angular momentum: 0
Closest approach: 0.01902
Top speed: 7.263
Path length: 418.04
Alignments per period: 154
Topology: abaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 1904)
Loop closure: 4.3×10⁻²⁷

Neighbours on the map

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