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II.C.288

From Li & Liao (2017)

II.C.288 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 181.16 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 44.26), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000147 of each other at a top speed of 82.6, line up 368 times a period, and the computed loop closes to 7.3×10⁻²⁴.

Measured over one period

Period: 181.1571325
Masses: 1 : 1 : 1
Energy: -2.06180
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 82.60
Path length: 511.85
Alignments per period: 368
Topology: ababABababABAbabaBABababABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabaBABababABAbabABAbabaBABababABAbabABABabaBABAbabABABabaBABababABAbabaBABabaBABababABAbabaBABabaBABAbabABABabaBABabaBABAbabABABabaBABababABAbabaBAB (free-group class)
Stability: unstable (|λ|max 44.26)
Loop closure: 7.3×10⁻²⁴

Neighbours on the map

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