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II.C.226

From Li & Liao (2017)

II.C.226 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 130.39 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 554.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00392 of each other at a top speed of 16, line up 128 times a period, and the computed loop closes to 6.0×10⁻²⁵.

Measured over one period

Period: 130.3922423
Masses: 1 : 1 : 1
Energy: -1.31453
Angular momentum: 0
Closest approach: 0.003915
Top speed: 15.99
Path length: 335.19
Alignments per period: 128
Topology: abaBAbaBAbaBAbaBAbabABabABabABabABabABAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 554.9)
Loop closure: 6.0×10⁻²⁵

Neighbours on the map

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