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II.C.229

From Li & Liao (2017)

II.C.229 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 138.56 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 2411), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00271 of each other at a top speed of 19.2, line up 130 times a period, and the computed loop closes to 5.3×10⁻²⁵.

Measured over one period

Period: 138.5644049
Masses: 1 : 1 : 1
Energy: -1.27670
Angular momentum: 0
Closest approach: 0.002707
Top speed: 19.22
Path length: 356.10
Alignments per period: 130
Stability: unstable (|λ|max 2411)
Loop closure: 5.3×10⁻²⁵

Neighbours on the map

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