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II.C.201

From Li & Liao (2017)

II.C.201 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 38.791 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 348), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00852 of each other at a top speed of 10.9, line up 76 times a period, and the computed loop closes to 1.8×10⁻²⁶.

Measured over one period

Period: 38.79116773
Masses: 1 : 1 : 1
Energy: -2.04066
Angular momentum: 0
Closest approach: 0.008520
Top speed: 10.89
Path length: 114.46
Alignments per period: 76
Stability: unstable (|λ|max 348.0)
Loop closure: 1.8×10⁻²⁶

Neighbours on the map

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