Atlas393 of 3,915

I.A.19

m₃ = 4

From Li, Jing & Liao (2018)

I.A.19 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 118.75 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 0.00000268 of each other at a top speed of 1546, line up 362 times a period, and the computed loop closes to 2.7×10⁻²⁰.

Measured over one period

Period: 118.7483808
Masses: 1 : 1 : 4
Energy: -6.93776
Angular momentum: 0
Closest approach: 2.7×10⁻⁶
Top speed: 1546
Path length: 442.61
Alignments per period: 362
Stability: stable (|λ|max 1.000)
Loop closure: 2.7×10⁻²⁰

Neighbours on the map

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