Atlas463 of 3,942

I.A.189

From Li, Jing & Liao (2018)

I.A.189 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 169.81 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 1.256), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000982 of each other at a top speed of 101, line up 366 times a period, and the computed loop closes to 4.6×10⁻²⁴.

Measured over one period

Period: 169.8054737
Masses: 1 : 1 : 1
Energy: -2.12937
Angular momentum: 0
Closest approach: 9.8×10⁻⁵
Top speed: 100.9
Path length: 470.26
Alignments per period: 366
Topology: ababABAbabaBABAbabaBABababABABabaBABababABABababABAbabaBABAbabaBABabaBABAbabaBABAbabABABababABABabaBABababABABabaBABAbabaBABAbabABABababABAbabABABababABABabaBABAbabaBABAbabABAbabaBABAbabaBABababABABababABAbabABAB (free-group class)
Stability: weakly unstable (|λ|max 1.256)
Loop closure: 4.6×10⁻²⁴

Neighbours on the map

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