Atlas624 of 3,915

I.A.11

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.11 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 37.835 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 1.003), so a small nudge only makes it wobble. The bodies pass within 0.00195 of each other at a top speed of 26.1, line up 46 times a period, and the computed loop closes to 4.8×10⁻²⁶.

Measured over one period

Period: 37.83539816
Masses: 1 : 1 : 0.5
Energy: -0.969573
Angular momentum: 0
Closest approach: 0.001952
Top speed: 26.12
Path length: 89.227
Alignments per period: 46
Stability: stable (|λ|max 1.003)
Loop closure: 4.8×10⁻²⁶

Neighbours on the map

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