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II.C.114

From Li & Liao (2017)

II.C.114 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 196.24 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 2.488), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00105 of each other at a top speed of 31, line up 160 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 196.2411273
Masses: 1 : 1 : 1
Energy: -1.15572
Angular momentum: 0
Closest approach: 0.001046
Top speed: 30.96
Path length: 454.84
Alignments per period: 160
Topology: abaBAbabABabABabaBAbabABabABabaBAbaBABabABabaBAbaBABabABabABAbaBABabABabABAbaBAbabABabABAbaBAbabABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.488)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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