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II.C.24

From Li & Liao (2017)

II.C.24 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 35.817 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 21.46), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00181 of each other at a top speed of 23.6, line up 72 times a period, and the computed loop closes to 3.3×10⁻²⁶.

Measured over one period

Period: 35.81701442
Masses: 1 : 1 : 1
Energy: -2.08454
Angular momentum: 0
Closest approach: 0.001812
Top speed: 23.60
Path length: 106.47
Alignments per period: 72
Stability: unstable (|λ|max 21.46)
Loop closure: 3.3×10⁻²⁶

Neighbours on the map

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