Atlas470 of 3,942

I.A.24

m₃ = 2

From Li, Jing & Liao (2018)

I.A.24 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 90.802 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 1.004), so a small nudge only makes it wobble. The bodies pass within 0.0000661 of each other at a top speed of 201, line up 230 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 90.80167480
Masses: 1 : 1 : 2
Energy: -3.79944
Angular momentum: 0
Closest approach: 6.6×10⁻⁵
Top speed: 200.8
Path length: 284.19
Alignments per period: 230
Topology: ababababABABABAbababaBABABABabababaBABABABabababaBABABAbabababABABABABabababaBABABAbabababABABABAbabababABABABAbababaBABABAB (free-group class)
Stability: stable (|λ|max 1.004)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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