Atlas552 of 3,942

I.A.4

m₃ = 2

From Li, Jing & Liao (2018)

I.A.4 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 36.561 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 1.003), so a small nudge only makes it wobble. The bodies pass within 0.000578 of each other at a top speed of 67.9, line up 74 times a period, and the computed loop closes to 4.5×10⁻¹⁴.

Measured over one period

Period: 36.56074061
Masses: 1 : 1 : 2
Energy: -3.27666
Angular momentum: 0
Closest approach: 5.8×10⁻⁴
Top speed: 67.92
Path length: 108.54
Alignments per period: 74
Topology: abababaBABABAbabababABABABAbababaBABABAB (free-group class)
Stability: stable (|λ|max 1.003)
Loop closure: 4.5×10⁻¹⁴

Neighbours on the map

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