Atlas291 of 3,915

I.A.22

m₃ = 0.5

From Li, Jing & Liao (2018)

I.A.22 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 54.574 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 0.00013 of each other at a top speed of 101, line up 86 times a period, and the computed loop closes to 1.6×10⁻²⁴.

Measured over one period

Period: 54.57442795
Masses: 1 : 1 : 0.5
Energy: -1.10772
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 101.1
Path length: 127.73
Alignments per period: 86
Stability: stable (|λ|max 1.000)
Loop closure: 1.6×10⁻²⁴

Neighbours on the map

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