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II.C.64

From Li & Liao (2017)

II.C.64 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 21.459 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 118.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000548 of each other at a top speed of 42.8, line up 52 times a period, and the computed loop closes to 8.2×10⁻²⁶.

Measured over one period

Period: 21.45933068
Masses: 1 : 1 : 1
Energy: -2.29744
Angular momentum: 0
Closest approach: 5.5×10⁻⁴
Top speed: 42.78
Path length: 63.777
Alignments per period: 52
Topology: aabABAbabaBABabbaBAABababABBAb (free-group class)
Stability: unstable (|λ|max 118.5)
Loop closure: 8.2×10⁻²⁶

Neighbours on the map

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