Atlas722 of 3,915

I.A.1

m₃ = 2

From Li, Jing & Liao (2018)

I.A.1 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 12.649 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 0.0459 of each other at a top speed of 7.44, line up 14 times a period, and the computed loop closes to 1.7×10⁻²⁸.

Measured over one period

Period: 12.64890615
Masses: 1 : 1 : 2
Energy: -2.22995
Angular momentum: 0
Closest approach: 0.04589
Top speed: 7.436
Path length: 34.756
Alignments per period: 14
Stability: stable (|λ|max 1.000)
Loop closure: 1.7×10⁻²⁸

Neighbours on the map

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