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II.C.298

From Li & Liao (2017)

II.C.298 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 191.02 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 157), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000173 of each other at a top speed of 76, line up 412 times a period, and the computed loop closes to 6.3×10⁻²⁴.

Measured over one period

Period: 191.0226619
Masses: 1 : 1 : 1
Energy: -2.13716
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 75.98
Path length: 539.14
Alignments per period: 412
Topology: ababABAbabaBABababABAbabaBABababABABabaBABababABAbabaBABAbabABABabaBABababABABabaBABAbabaBABabaBABAbabABABababABAbabaBABabaBABAbabaBABababABAbabaBABAbabABAbabaBABababABABabaBABAbabABAbabaBABAbabABABababABAbabABABabaBABAbabaBABababABAbabABAB (free-group class)
Stability: unstable (|λ|max 157.0)
Loop closure: 6.3×10⁻²⁴

Neighbours on the map

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