Atlas920 of 3,942

I.B.36

m₃ = 2

From Li & Liao (2017)

I.B.36 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 114.77 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000013 of each other at a top speed of 452, line up 264 times a period, and the computed loop closes to 3.1×10⁻²².

Measured over one period

Period: 114.7714471
Masses: 1 : 1 : 2
Energy: -3.55777
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 452.2
Path length: 339.26
Alignments per period: 264
Topology: ababababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababaBABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.1×10⁻²²

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.