Atlas381 of 3,942

I.A.184

From Li, Jing & Liao (2018)

I.A.184 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 187.69 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 0.0000274 of each other at a top speed of 191, line up 346 times a period, and the computed loop closes to 2.0×10⁻²³.

Measured over one period

Period: 187.6908781
Masses: 1 : 1 : 1
Energy: -1.91620
Angular momentum: 0
Closest approach: 2.7×10⁻⁵
Top speed: 190.9
Path length: 490.76
Alignments per period: 346
Topology: ababABAbabaBABAbabaBABababABABabaBABAbabaBABababABABababABAbabaBABAbabABABababABAbabaBABAbabaBABababABABabaBABAbabaBABAbabABABababABAbabaBABAbabABABababABABabaBABAbabaBABababABABabaBABAbabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.0×10⁻²³

Neighbours on the map

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