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II.C.269

From Li & Liao (2017)

II.C.269 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 197.86 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 4.466), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000452 of each other at a top speed of 149, line up 272 times a period, and the computed loop closes to 8.2×10⁻²³.

Measured over one period

Period: 197.8631583
Masses: 1 : 1 : 1
Energy: -1.59095
Angular momentum: 0
Closest approach: 4.5×10⁻⁵
Top speed: 148.9
Path length: 493.84
Alignments per period: 272
Topology: ababABababABAbabaBABabaBABababABAbabaBABabaBABAbabABABabaBABabaBABAbabABABabaBABabaBABAbabABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabaBABababABAbabABAbabaBAB (free-group class)
Stability: weakly unstable (|λ|max 4.466)
Loop closure: 8.2×10⁻²³

Neighbours on the map

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