Atlas468 of 3,915

I.A.32

m₃ = 2

From Li, Jing & Liao (2018)

I.A.32 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 107.64 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 weakly unstable (largest Floquet multiplier 1.105), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000584 of each other at a top speed of 214, line up 274 times a period, and the computed loop closes to 5.2×10⁻²³.

Measured over one period

Period: 107.6378559
Masses: 1 : 1 : 2
Energy: -3.81640
Angular momentum: 0
Closest approach: 5.8×10⁻⁵
Top speed: 213.7
Path length: 342.77
Alignments per period: 274
Stability: weakly unstable (|λ|max 1.105)
Loop closure: 5.2×10⁻²³

Neighbours on the map

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