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II.C.86

From Li & Liao (2017)

II.C.86 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 124.24 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 2551), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00629 of each other at a top speed of 12.6, line up 112 times a period, and the computed loop closes to 3.0×10⁻²⁵.

Measured over one period

Period: 124.2440268
Masses: 1 : 1 : 1
Energy: -1.24297
Angular momentum: 0
Closest approach: 0.006287
Top speed: 12.61
Path length: 314.25
Alignments per period: 112
Stability: unstable (|λ|max 2551)
Loop closure: 3.0×10⁻²⁵

Neighbours on the map

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