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II.C.8

From Li & Liao (2017)

II.C.8 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 22.333 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 19.94), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000286 of each other at a top speed of 187, line up 48 times a period, and the computed loop closes to 3.0×10⁻²³.

Measured over one period

Period: 22.33337879
Masses: 1 : 1 : 1
Energy: -2.13402
Angular momentum: 0
Closest approach: 2.9×10⁻⁵
Top speed: 187.1
Path length: 63.058
Alignments per period: 48
Stability: unstable (|λ|max 19.94)
Loop closure: 3.0×10⁻²³

Neighbours on the map

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