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II.C.65

From Li & Liao (2017)

II.C.65 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 41.437 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 736.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00886 of each other at a top speed of 10.7, line up 54 times a period, and the computed loop closes to 9.0×10⁻²⁷.

Measured over one period

Period: 41.43671140
Masses: 1 : 1 : 1
Energy: -1.58708
Angular momentum: 0
Closest approach: 0.008863
Top speed: 10.71
Path length: 110.72
Alignments per period: 54
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbbABabAB (free-group class)
Stability: unstable (|λ|max 736.5)
Loop closure: 9.0×10⁻²⁷

Neighbours on the map

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