Atlas595 of 3,942

I.A.46

m₃ = 2

From Li, Jing & Liao (2018)

I.A.46 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 149.4 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 2.323), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000366 of each other at a top speed of 85.4, line up 346 times a period, and the computed loop closes to 6.7×10⁻²⁵.

Measured over one period

Period: 149.3966263
Masses: 1 : 1 : 2
Energy: -3.59471
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 85.44
Path length: 479.45
Alignments per period: 346
Topology: abababaBABABAbababaBABABAbababaBABABAbabababABABABabababABABABAbababaBABABAbabababABABABabababABABABAbababaBABABAbababaBABABAbababaBABABABabababABABABabababaBABABAbababaBABABABabababABABAB (free-group class)
Stability: weakly unstable (|λ|max 2.323)
Loop closure: 6.7×10⁻²⁵

Neighbours on the map

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