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II.C.210

From Li & Liao (2017)

II.C.210 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 106.28 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 137.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0222 of each other at a top speed of 6.71, line up 100 times a period, and the computed loop closes to 1.7×10⁻²⁷.

Measured over one period

Period: 106.2835399
Masses: 1 : 1 : 1
Energy: -1.27879
Angular momentum: 0
Closest approach: 0.02222
Top speed: 6.714
Path length: 272.17
Alignments per period: 100
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: unstable (|λ|max 137.6)
Loop closure: 1.7×10⁻²⁷

Neighbours on the map

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