Atlas1,786 of 3,942

II.C.16

m₃ = 2

From Li & Liao (2017)

II.C.16 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 41.929 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 1.002), so a small nudge only makes it wobble. The bodies pass within 0.0000184 of each other at a top speed of 38, line up 104 times a period, and the computed loop closes to 5.9×10⁻²³.

Measured over one period

Period: 41.92943443
Masses: 1 : 1 : 2
Energy: -3.74372
Angular momentum: 0
Closest approach: 1.8×10⁻⁵
Top speed: 380.3
Path length: 128.71
Alignments per period: 104
Topology: ababababABABABAbabababABABABAbababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.002)
Loop closure: 5.9×10⁻²³

Neighbours on the map

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