Atlas396 of 3,915

I.A.6

m₃ = 4

From Li, Jing & Liao (2018)

I.A.6 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 48.339 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 1.001), so a small nudge only makes it wobble. The bodies pass within 0.0000901 of each other at a top speed of 267, line up 154 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 48.33942759
Masses: 1 : 1 : 4
Energy: -7.14587
Angular momentum: 0
Closest approach: 9.0×10⁻⁵
Top speed: 266.6
Path length: 184.99
Alignments per period: 154
Stability: stable (|λ|max 1.001)
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.