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II.C.140

From Li & Liao (2017)

II.C.140 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 107.51 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 22.05), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000779 of each other at a top speed of 35.8, line up 222 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 107.5138997
Masses: 1 : 1 : 1
Energy: -2.08188
Angular momentum: 0
Closest approach: 7.8×10⁻⁴
Top speed: 35.84
Path length: 303.57
Alignments per period: 222
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABababABAbabABABabaBABAbabABABabaBAB (free-group class)
Stability: unstable (|λ|max 22.05)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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