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II.C.24

m₃ = 2

From Li & Liao (2017)

II.C.24 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 58.3 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 3.352), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000656 of each other at a top speed of 202, line up 148 times a period, and the computed loop closes to 8.5×10⁻²⁴.

Measured over one period

Period: 58.30034089
Masses: 1 : 1 : 2
Energy: -3.81108
Angular momentum: 0
Closest approach: 6.6×10⁻⁵
Top speed: 201.7
Path length: 186.48
Alignments per period: 148
Topology: ababababABABABabababaBABABABabababABABABAbababaBABABABabababABABABAbabababABABAB (free-group class)
Stability: weakly unstable (|λ|max 3.352)
Loop closure: 8.5×10⁻²⁴

Neighbours on the map

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