Atlas763 of 3,915

I.A.111

From Li, Jing & Liao (2018)

I.A.111 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 195.83 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 0.00105 of each other at a top speed of 30.9, line up 210 times a period, and the computed loop closes to 3.1×10⁻²⁵.

Measured over one period

Period: 195.8266400
Masses: 1 : 1 : 1
Energy: -1.39311
Angular momentum: 0
Closest approach: 0.001046
Top speed: 30.93
Path length: 503.69
Alignments per period: 210
Stability: stable (|λ|max 1.000)
Loop closure: 3.1×10⁻²⁵

Neighbours on the map

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