Atlas353 of 3,942

I.A.47

m₃ = 2

From Li, Jing & Liao (2018)

I.A.47 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 127.61 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 weakly unstable (largest Floquet multiplier 1.084), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000262 of each other at a top speed of 319, line up 350 times a period, and the computed loop closes to 1.1×10⁻¹⁸.

Measured over one period

Period: 127.6057515
Masses: 1 : 1 : 2
Energy: -3.99730
Angular momentum: 0
Closest approach: 2.6×10⁻⁵
Top speed: 318.9
Path length: 392.18
Alignments per period: 350
Topology: ababababABABABAbabababABABABAbabababaBABABABabababaBABABABababababABABABAbabababABABABAbabababABABABABabababaBABABABabababaBABABABAbabababABABABAbabababABABABABabababaBABABABabababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.084)
Loop closure: 1.1×10⁻¹⁸

Neighbours on the map

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