Atlas641 of 3,942

I.A.43

m₃ = 2

From Li, Jing & Liao (2018)

I.A.43 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 169.55 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000574 of each other at a top speed of 216, line up 338 times a period, and the computed loop closes to 3.9×10⁻²⁴.

Measured over one period

Period: 169.5497786
Masses: 1 : 1 : 2
Energy: -3.25578
Angular momentum: 0
Closest approach: 5.7×10⁻⁵
Top speed: 215.5
Path length: 522.31
Alignments per period: 338
Topology: abababaBABABAbababaBABABAbababaBABABAbababaBABABAbabababABABABabababABABABabababABABABabababABABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABABabababABABABabababABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.9×10⁻²⁴

Neighbours on the map

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