Atlas1,788 of 3,942

II.C.44

m₃ = 2

From Li & Liao (2017)

II.C.44 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 96.722 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 1.615), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000878 of each other at a top speed of 551, line up 256 times a period, and the computed loop closes to 8.7×10⁻²¹.

Measured over one period

Period: 96.72162977
Masses: 1 : 1 : 2
Energy: -3.91229
Angular momentum: 0
Closest approach: 8.8×10⁻⁶
Top speed: 551.0
Path length: 306.62
Alignments per period: 256
Topology: ababababABABABAbababaBABABABabababaBABABABabababaBABABABabababaBABABABabababABABABAbabababABABABAbabababABABABAbabababABABABAbababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.615)
Loop closure: 8.7×10⁻²¹

Neighbours on the map

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