Atlas407 of 3,942

I.A.165

From Li, Jing & Liao (2018)

I.A.165 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 132.05 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 0.0000588 of each other at a top speed of 131, line up 242 times a period, and the computed loop closes to 1.3×10⁻²³.

Measured over one period

Period: 132.0453999
Masses: 1 : 1 : 1
Energy: -1.90967
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.5
Path length: 345.69
Alignments per period: 242
Topology: ababABAbabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻²³

Neighbours on the map

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