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II.C.36

From Li & Liao (2017)

II.C.36 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 93.042 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 14.11), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00657 of each other at a top speed of 12.3, line up 90 times a period, and the computed loop closes to 3.2×10⁻²⁶.

Measured over one period

Period: 93.04206158
Masses: 1 : 1 : 1
Energy: -1.30118
Angular momentum: 0
Closest approach: 0.006570
Top speed: 12.34
Path length: 233.98
Alignments per period: 90
Stability: unstable (|λ|max 14.11)
Loop closure: 3.2×10⁻²⁶

Neighbours on the map

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