Atlas386 of 3,942

I.A.168

From Li, Jing & Liao (2018)

I.A.168 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 132.7 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 0.0000426 of each other at a top speed of 153, line up 286 times a period, and the computed loop closes to 2.2×10⁻²².

Measured over one period

Period: 132.7019091
Masses: 1 : 1 : 1
Energy: -2.11625
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 153.2
Path length: 352.55
Alignments per period: 286
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.2×10⁻²²

Neighbours on the map

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