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II.C.141

From Li & Liao (2017)

II.C.141 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 195.17 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 59.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.001 of each other at a top speed of 31.6, line up 206 times a period, and the computed loop closes to 7.8×10⁻²⁵.

Measured over one period

Period: 195.1709718
Masses: 1 : 1 : 1
Energy: -1.36967
Angular momentum: 0
Closest approach: 0.001003
Top speed: 31.57
Path length: 491.39
Alignments per period: 206
Topology: abaBAbabABabaBAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABabaBAbabABabABAbaBABabABabaBAbabABabABAbaBABabABabaBAbabABabABAbaBABabAB (free-group class)
Stability: unstable (|λ|max 59.70)
Loop closure: 7.8×10⁻²⁵

Neighbours on the map

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