Atlas606 of 3,942

I.A.2

m₃ = 4

From Li, Jing & Liao (2018)

I.A.2 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 17.651 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 0.0017 of each other at a top speed of 61.3, line up 46 times a period, and the computed loop closes to 4.7×10⁻²⁶.

Measured over one period

Period: 17.65078078
Masses: 1 : 1 : 4
Energy: -6.26599
Angular momentum: 0
Closest approach: 0.001702
Top speed: 61.29
Path length: 68.953
Alignments per period: 46
Topology: ababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.7×10⁻²⁶

Neighbours on the map

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