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II.C.60

m₃ = 2

From Li & Liao (2017)

II.C.60 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 126.59 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 417.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000259 of each other at a top speed of 321, line up 318 times a period, and the computed loop closes to 1.2×10⁻²¹.

Measured over one period

Period: 126.5930724
Masses: 1 : 1 : 2
Energy: -3.78583
Angular momentum: 0
Closest approach: 2.6×10⁻⁵
Top speed: 320.8
Path length: 405.26
Alignments per period: 318
Stability: unstable (|λ|max 417.4)
Loop closure: 1.2×10⁻²¹

Neighbours on the map

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