Atlas761 of 3,915

I.A.22

From Li, Jing & Liao (2018)

I.A.22 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 78.398 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 unstable (largest Floquet multiplier 15.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0184 of each other at a top speed of 7.39, line up 74 times a period, and the computed loop closes to 4.3×10⁻²⁸.

Measured over one period

Period: 78.39849793
Masses: 1 : 1 : 1
Energy: -1.27848
Angular momentum: 0
Closest approach: 0.01835
Top speed: 7.392
Path length: 195.74
Alignments per period: 74
Stability: unstable (|λ|max 15.90)
Loop closure: 4.3×10⁻²⁸

Neighbours on the map

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