Atlas448 of 3,942

I.A.161

From Li, Jing & Liao (2018)

I.A.161 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 147.44 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 2.175), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000908 of each other at a top speed of 105, line up 226 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 147.4412392
Masses: 1 : 1 : 1
Energy: -1.70434
Angular momentum: 0
Closest approach: 9.1×10⁻⁵
Top speed: 104.9
Path length: 374.98
Alignments per period: 226
Topology: ababABAbabaBABababABAbabaBABababABAbabaBABababABAbabABABababABAbabABABabaBABAbabABABabaBABAbabABABabaBABAbabABABabaBABababABABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 2.175)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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