Atlas523 of 3,942

I.A.169

From Li, Jing & Liao (2018)

I.A.169 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 143.8 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 1.485), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000046 of each other at a top speed of 148, line up 278 times a period, and the computed loop closes to 1.0×10⁻²².

Measured over one period

Period: 143.8012841
Masses: 1 : 1 : 1
Energy: -1.99987
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 147.5
Path length: 404.65
Alignments per period: 278
Topology: ababABAbabaBABabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABAbabABAbabABABabaBABabaBABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.485)
Loop closure: 1.0×10⁻²²

Neighbours on the map

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