Atlas747 of 3,915

I.A.41

From Li, Jing & Liao (2018)

I.A.41 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 102.82 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 0.00103 of each other at a top speed of 31.2, line up 114 times a period, and the computed loop closes to 8.4×10⁻²⁵.

Measured over one period

Period: 102.8155090
Masses: 1 : 1 : 1
Energy: -1.42400
Angular momentum: 0
Closest approach: 0.001027
Top speed: 31.20
Path length: 263.65
Alignments per period: 114
Stability: stable (|λ|max 1.000)
Loop closure: 8.4×10⁻²⁵

Neighbours on the map

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