Atlas642 of 3,942

I.A.21

m₃ = 2

From Li, Jing & Liao (2018)

I.A.21 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 104.87 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 0.0000757 of each other at a top speed of 188, line up 206 times a period, and the computed loop closes to 4.0×10⁻¹⁷.

Measured over one period

Period: 104.8697670
Masses: 1 : 1 : 2
Energy: -3.22191
Angular momentum: 0
Closest approach: 7.6×10⁻⁵
Top speed: 187.7
Path length: 319.58
Alignments per period: 206
Topology: abababaBABABAbababaBABABAbabababABABABabababABABABabababABABABAbababaBABABAbababaBABABABabababABABABabababABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.0×10⁻¹⁷

Neighbours on the map

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