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II.C.66

From Li & Liao (2017)

II.C.66 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 26.917 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 32117), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00965 of each other at a top speed of 10.3, line up 70 times a period, and the computed loop closes to 1.5×10⁻²⁵.

Measured over one period

Period: 26.91735826
Masses: 1 : 1 : 1
Energy: -2.38755
Angular momentum: 0
Closest approach: 0.009646
Top speed: 10.33
Path length: 76.631
Alignments per period: 70
Stability: unstable (|λ|max 32117)
Loop closure: 1.5×10⁻²⁵

Neighbours on the map

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