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II.C.271

From Li & Liao (2017)

II.C.271 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 136.69 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 1783), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000118 of each other at a top speed of 92.1, line up 282 times a period, and the computed loop closes to 1.9×10⁻²⁴.

Measured over one period

Period: 136.6911306
Masses: 1 : 1 : 1
Energy: -2.08633
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 92.09
Path length: 390.72
Alignments per period: 282
Topology: ababABababABAbabaBABababABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabaBAbabaBABababABAbabABAbabaBABababABAbabABAbabaBABababABAbabABAbabaBAB (free-group class)
Stability: unstable (|λ|max 1783)
Loop closure: 1.9×10⁻²⁴

Neighbours on the map

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