Atlas408 of 3,942

I.A.171

From Li, Jing & Liao (2018)

I.A.171 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 159.78 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 0.000044 of each other at a top speed of 151, line up 290 times a period, and the computed loop closes to 1.8×10⁻²².

Measured over one period

Period: 159.7793954
Masses: 1 : 1 : 1
Energy: -1.89887
Angular momentum: 0
Closest approach: 4.4×10⁻⁵
Top speed: 150.8
Path length: 419.09
Alignments per period: 290
Topology: ababABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabaBABababABABabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABABababABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.8×10⁻²²

Neighbours on the map

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