Atlas510 of 3,942

I.A.23

m₃ = 2

From Li, Jing & Liao (2018)

I.A.23 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 104.46 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 0.0000323 of each other at a top speed of 287, line up 230 times a period, and the computed loop closes to 7.9×10⁻¹⁶.

Measured over one period

Period: 104.4563050
Masses: 1 : 1 : 2
Energy: -3.46059
Angular momentum: 0
Closest approach: 3.2×10⁻⁵
Top speed: 287.3
Path length: 312.15
Alignments per period: 230
Topology: abababaBABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABAbababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.9×10⁻¹⁶

Neighbours on the map

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