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II.C.220

From Li & Liao (2017)

II.C.220 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.07 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 37.22), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00565 of each other at a top speed of 13.3, line up 118 times a period, and the computed loop closes to 4.7×10⁻²⁵.

Measured over one period

Period: 127.0667085
Masses: 1 : 1 : 1
Energy: -1.26314
Angular momentum: 0
Closest approach: 0.005651
Top speed: 13.30
Path length: 312.82
Alignments per period: 118
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: unstable (|λ|max 37.22)
Loop closure: 4.7×10⁻²⁵

Neighbours on the map

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