Atlas544 of 3,942

I.A.145

From Li, Jing & Liao (2018)

I.A.145 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 184.15 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 0.00112 of each other at a top speed of 29.9, line up 358 times a period, and the computed loop closes to 3.3×10⁻²⁵.

Measured over one period

Period: 184.1463026
Masses: 1 : 1 : 1
Energy: -2.01114
Angular momentum: 0
Closest approach: 0.001118
Top speed: 29.91
Path length: 523.53
Alignments per period: 358
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.3×10⁻²⁵

Neighbours on the map

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