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II.C.266

From Li & Liao (2017)

II.C.266 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 187.45 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 10.75), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000429 of each other at a top speed of 153, line up 258 times a period, and the computed loop closes to 2.7×10⁻²³.

Measured over one period

Period: 187.4542191
Masses: 1 : 1 : 1
Energy: -1.59346
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 152.7
Path length: 469.94
Alignments per period: 258
Topology: ababABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBABababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBAB (free-group class)
Stability: unstable (|λ|max 10.75)
Loop closure: 2.7×10⁻²³

Neighbours on the map

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