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II.C.62

From Li & Liao (2017)

II.C.62 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 15.585 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 547.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.012 of each other at a top speed of 9.31, line up 38 times a period, and the computed loop closes to 5.8×10⁻²⁸.

Measured over one period

Period: 15.58520687
Masses: 1 : 1 : 1
Energy: -2.31678
Angular momentum: 0
Closest approach: 0.01204
Top speed: 9.313
Path length: 46.898
Alignments per period: 38
Topology: ababABAbabaBABababABAB (free-group class)
Stability: unstable (|λ|max 547.9)
Loop closure: 5.8×10⁻²⁸

Neighbours on the map

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