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II.C.5

m₃ = 2

From Li & Liao (2017)

II.C.5 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 11.245 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 12.06), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0123 of each other at a top speed of 14.8, line up 18 times a period, and the computed loop closes to 4.9×10⁻²⁵.

Measured over one period

Period: 11.24488596
Masses: 1 : 1 : 2
Energy: -2.61957
Angular momentum: 0
Closest approach: 0.01232
Top speed: 14.79
Path length: 33.088
Alignments per period: 18
Stability: unstable (|λ|max 12.06)
Loop closure: 4.9×10⁻²⁵

Neighbours on the map

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