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II.C.263

From Li & Liao (2017)

II.C.263 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 125.66 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 135.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000888 of each other at a top speed of 106, line up 254 times a period, and the computed loop closes to 5.1×10⁻²⁴.

Measured over one period

Period: 125.6570100
Masses: 1 : 1 : 1
Energy: -2.06142
Angular momentum: 0
Closest approach: 8.9×10⁻⁵
Top speed: 106.2
Path length: 359.14
Alignments per period: 254
Topology: ababABababABAbabaBABabaBABababABAbabABAbabABABabaBABAbaBABAbabABABabaBABabaBABababABAbabABAbabaBABababABababABAbabABABabaBABabaBABAbabABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 135.8)
Loop closure: 5.1×10⁻²⁴

Neighbours on the map

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