Atlas315 of 3,915

I.A.5

m₃ = 2

From Li, Jing & Liao (2018)

I.A.5 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 28.106 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 0.0000592 of each other at a top speed of 212, line up 82 times a period, and the computed loop closes to 8.3×10⁻²⁴.

Measured over one period

Period: 28.10614567
Masses: 1 : 1 : 2
Energy: -4.16298
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 212.3
Path length: 86.304
Alignments per period: 82
Stability: stable (|λ|max 1.000)
Loop closure: 8.3×10⁻²⁴

Neighbours on the map

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