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II.C.233

From Li & Liao (2017)

II.C.233 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 100.11 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 159.1), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000125 of each other at a top speed of 89.4, line up 160 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 100.1147085
Masses: 1 : 1 : 1
Energy: -1.78932
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 89.43
Path length: 280.18
Alignments per period: 160
Topology: ababABabaBABabABAbaBABabaBABabaBAbabABAbaBABabaBABabABAbabABAbaBABabaBAbabABAbabABAbaBABabABAbabAB (free-group class)
Stability: unstable (|λ|max 159.1)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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