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II.C.231

From Li & Liao (2017)

II.C.231 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 132.58 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 244.2), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000688 of each other at a top speed of 38.1, line up 138 times a period, and the computed loop closes to 9.7×10⁻²⁵.

Measured over one period

Period: 132.5826336
Masses: 1 : 1 : 1
Energy: -1.36727
Angular momentum: 0
Closest approach: 6.9×10⁻⁴
Top speed: 38.13
Path length: 347.51
Alignments per period: 138
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABaaBAbaBAbaBAbaBAbaBAbaBAbbABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 244.2)
Loop closure: 9.7×10⁻²⁵

Neighbours on the map

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