Atlas567 of 3,942

I.A.144

From Li, Jing & Liao (2018)

I.A.144 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.01 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 weakly unstable (largest Floquet multiplier 1.353), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00102 of each other at a top speed of 31.4, line up 358 times a period, and the computed loop closes to 7.2×10⁻²⁶.

Measured over one period

Period: 185.0094674
Masses: 1 : 1 : 1
Energy: -2.00487
Angular momentum: 0
Closest approach: 0.001015
Top speed: 31.41
Path length: 525.96
Alignments per period: 358
Topology: ababABAbabABAbabaBABabaBABabaBABAbabABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBABababABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.353)
Loop closure: 7.2×10⁻²⁶

Neighbours on the map

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