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II.C.225

From Li & Liao (2017)

II.C.225 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 128.92 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 457.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00634 of each other at a top speed of 12.6, line up 126 times a period, and the computed loop closes to 1.4×10⁻²⁵.

Measured over one period

Period: 128.9199842
Masses: 1 : 1 : 1
Energy: -1.31089
Angular momentum: 0
Closest approach: 0.006342
Top speed: 12.57
Path length: 329.96
Alignments per period: 126
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABaaBAbaBAbaBAbaBAbaBAbbABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 457.9)
Loop closure: 1.4×10⁻²⁵

Neighbours on the map

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