Atlas526 of 3,915

I.A.44

From Li, Jing & Liao (2018)

I.A.44 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 90.421 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 0.000324 of each other at a top speed of 55.5, line up 142 times a period, and the computed loop closes to 1.0×10⁻¹⁸.

Measured over one period

Period: 90.42117715
Masses: 1 : 1 : 1
Energy: -1.74342
Angular momentum: 0
Closest approach: 3.2×10⁻⁴
Top speed: 55.55
Path length: 239.25
Alignments per period: 142
Stability: stable (|λ|max 1.000)
Loop closure: 1.0×10⁻¹⁸

Neighbours on the map

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