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II.C.224

From Li & Liao (2017)

II.C.224 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 117.35 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 834), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000189 of each other at a top speed of 72.8, line up 140 times a period, and the computed loop closes to 5.8×10⁻²³.

Measured over one period

Period: 117.3488700
Masses: 1 : 1 : 1
Energy: -1.46094
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 72.85
Path length: 290.35
Alignments per period: 140
Stability: unstable (|λ|max 834.0)
Loop closure: 5.8×10⁻²³

Neighbours on the map

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