Atlas432 of 3,942

I.A.44

m₃ = 2

From Li, Jing & Liao (2018)

I.A.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 134.04 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 0.0000974 of each other at a top speed of 166, line up 342 times a period, and the computed loop closes to 2.6×10⁻²⁴.

Measured over one period

Period: 134.0431590
Masses: 1 : 1 : 2
Energy: -3.81291
Angular momentum: 0
Closest approach: 9.7×10⁻⁵
Top speed: 165.5
Path length: 411.38
Alignments per period: 342
Topology: ababababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.6×10⁻²⁴

Neighbours on the map

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