Atlas656 of 3,942

I.A.50

m₃ = 2

From Li, Jing & Liao (2018)

I.A.50 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 169.59 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 unstable (largest Floquet multiplier 22.13), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000221 of each other at a top speed of 11, line up 366 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 169.5876213
Masses: 1 : 1 : 2
Energy: -3.43883
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 109.9
Path length: 544.60
Alignments per period: 366
Topology: abababABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABabababABABABabababABABABababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababaBABABAbababABABABabababABABAB (free-group class)
Stability: unstable (|λ|max 22.13)
Loop closure: 2.2×10⁻²⁴

Neighbours on the map

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