Atlas1,012 of 3,942

I.B.32

m₃ = 2

From Li & Liao (2017)

I.B.32 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 127.74 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.047), so a small nudge only makes it wobble. The bodies pass within 0.000133 of each other at a top speed of 142, line up 256 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 127.7436324
Masses: 1 : 1 : 2
Energy: -3.24981
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 141.7
Path length: 369.43
Alignments per period: 256
Topology: abababaBABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.047)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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