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II.B.10

From Li, Jing & Liao (2018)

II.B.10 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 189.77 time units, published by Li, Jing & Liao (2018). Class II.B orbits, mostly long-period. It is unstable (largest Floquet multiplier 139.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000386 of each other at a top speed of 50.9, line up 248 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 189.7694396
Masses: 1 : 1 : 1
Energy: -1.53890
Angular momentum: 0
Closest approach: 3.9×10⁻⁴
Top speed: 50.94
Path length: 466.07
Alignments per period: 248
Topology: ababABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabaBABabaBABababABAbabaBAbabaBABababABAbabABAbabaBABababABAbabABAbabaBABababABAbabABAbabaBAB (free-group class)
Stability: unstable (|λ|max 139.3)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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