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II.C.147

From Li & Liao (2017)

II.C.147 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.6 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 74.72), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000858 of each other at a top speed of 108, line up 228 times a period, and the computed loop closes to 3.3×10⁻¹⁶.

Measured over one period

Period: 164.6023345
Masses: 1 : 1 : 1
Energy: -1.60971
Angular momentum: 0
Closest approach: 8.6×10⁻⁵
Top speed: 108.0
Path length: 424.22
Alignments per period: 228
Topology: ababABababABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: unstable (|λ|max 74.72)
Loop closure: 3.3×10⁻¹⁶

Neighbours on the map

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