Atlas566 of 3,915

I.A.139

From Li, Jing & Liao (2018)

I.A.139 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.9 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 unstable (largest Floquet multiplier 11.68), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000826 of each other at a top speed of 34.8, line up 334 times a period, and the computed loop closes to 5.9×10⁻²⁵.

Measured over one period

Period: 164.8956499
Masses: 1 : 1 : 1
Energy: -2.05757
Angular momentum: 0
Closest approach: 8.3×10⁻⁴
Top speed: 34.78
Path length: 465.31
Alignments per period: 334
Stability: unstable (|λ|max 11.68)
Loop closure: 5.9×10⁻²⁵

Neighbours on the map

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