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II.C.236

From Li & Liao (2017)

II.C.236 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 167.87 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 192.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00894 of each other at a top speed of 10.6, line up 154 times a period, and the computed loop closes to 1.0×10⁻²⁶.

Measured over one period

Period: 167.8693963
Masses: 1 : 1 : 1
Energy: -1.25464
Angular momentum: 0
Closest approach: 0.008945
Top speed: 10.58
Path length: 415.61
Alignments per period: 154
Topology: abaBAbaBAbaBAbabABabABabABabaBAbaBAbaBAbabABabABabABabaBAbaBAbaBAbabABabABabABAbaBAbaBAbaBABabABabAB (free-group class)
Stability: unstable (|λ|max 192.8)
Loop closure: 1.0×10⁻²⁶

Neighbours on the map

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