Atlas472 of 3,942

I.A.5

m₃ = 4

From Li, Jing & Liao (2018)

I.A.5 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 51.975 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 0.000101 of each other at a top speed of 252, line up 146 times a period, and the computed loop closes to 4.1×10⁻²⁴.

Measured over one period

Period: 51.97465084
Masses: 1 : 1 : 4
Energy: -6.57902
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 251.8
Path length: 200.67
Alignments per period: 146
Topology: ababababababaBABABABABABAbababababababABABABABABABAbabababababaBABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.1×10⁻²⁴

Neighbours on the map

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