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II.C.64

m₃ = 2

From Li & Liao (2017)

II.C.64 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 197.79 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.273), so a small nudge only makes it wobble. The bodies pass within 0.00000315 of each other at a top speed of 921, line up 326 times a period, and the computed loop closes to 5.1×10⁻¹⁹.

Measured over one period

Period: 197.7892720
Masses: 1 : 1 : 2
Energy: -2.87213
Angular momentum: 0
Closest approach: 3.1×10⁻⁶
Top speed: 920.7
Path length: 578.83
Alignments per period: 326
Stability: stable (|λ|max 1.273)
Loop closure: 5.1×10⁻¹⁹

Neighbours on the map

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