Atlas347 of 3,942

I.A.190

From Li, Jing & Liao (2018)

I.A.190 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 188.41 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 0.000011 of each other at a top speed of 302, line up 370 times a period, and the computed loop closes to 1.3×10⁻¹⁶.

Measured over one period

Period: 188.4122025
Masses: 1 : 1 : 1
Energy: -1.98801
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 302.0
Path length: 482.66
Alignments per period: 370
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻¹⁶

Neighbours on the map

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