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II.C.110

From Li & Liao (2017)

II.C.110 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 146.62 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 512.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00144 of each other at a top speed of 26.4, line up 150 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 146.6171327
Masses: 1 : 1 : 1
Energy: -1.35024
Angular momentum: 0
Closest approach: 0.001437
Top speed: 26.39
Path length: 372.37
Alignments per period: 150
Topology: aaBAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabAB (free-group class)
Stability: unstable (|λ|max 512.7)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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