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II.C.113

From Li & Liao (2017)

II.C.113 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 132.34 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 14.39), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000279 of each other at a top speed of 59.9, line up 164 times a period, and the computed loop closes to 8.1×10⁻²⁵.

Measured over one period

Period: 132.3386829
Masses: 1 : 1 : 1
Energy: -1.50798
Angular momentum: 0
Closest approach: 2.8×10⁻⁴
Top speed: 59.91
Path length: 339.25
Alignments per period: 164
Topology: abaBAbabABAbabABabaBABabaBAbabABAbabABAbaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbaBABabaBAB (free-group class)
Stability: unstable (|λ|max 14.39)
Loop closure: 8.1×10⁻²⁵

Neighbours on the map

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