Atlas398 of 3,942

I.A.54

m₃ = 2

From Li, Jing & Liao (2018)

I.A.54 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 144.99 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 1.029), so a small nudge only makes it wobble. The bodies pass within 0.0000238 of each other at a top speed of 335, line up 394 times a period, and the computed loop closes to 1.1×10⁻¹⁵.

Measured over one period

Period: 144.9873980
Masses: 1 : 1 : 2
Energy: -3.97715
Angular momentum: 0
Closest approach: 2.4×10⁻⁵
Top speed: 335.0
Path length: 454.69
Alignments per period: 394
Topology: ababababABABABabababaBABABABabababaBABABABAbabababABABABAbabababABABABababababABABABAbabababABABABAbabababABABABABabababABABABAbabababABABABAbabababaBABABABabababaBABABABabababABABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.029)
Loop closure: 1.1×10⁻¹⁵

Neighbours on the map

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