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II.C.221

From Li & Liao (2017)

II.C.221 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 127.41 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 174.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0315 of each other at a top speed of 5.64, line up 118 times a period, and the computed loop closes to 5.7×10⁻²⁷.

Measured over one period

Period: 127.4087704
Masses: 1 : 1 : 1
Energy: -1.26564
Angular momentum: 0
Closest approach: 0.03149
Top speed: 5.645
Path length: 325.55
Alignments per period: 118
Stability: unstable (|λ|max 174.8)
Loop closure: 5.7×10⁻²⁷

Neighbours on the map

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