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II.C.32

From Li & Liao (2017)

II.C.32 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 72.871 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 172.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00308 of each other at a top speed of 18.1, line up 88 times a period, and the computed loop closes to 2.9×10⁻²⁵.

Measured over one period

Period: 72.87123065
Masses: 1 : 1 : 1
Energy: -1.48528
Angular momentum: 0
Closest approach: 0.003083
Top speed: 18.09
Path length: 186.13
Alignments per period: 88
Stability: unstable (|λ|max 172.5)
Loop closure: 2.9×10⁻²⁵

Neighbours on the map

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