Atlas590 of 3,915

I.A.188

From Li, Jing & Liao (2018)

I.A.188 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 183.63 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 21.66), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00388 of each other at a top speed of 16.1, line up 358 times a period, and the computed loop closes to 2.3×10⁻²⁵.

Measured over one period

Period: 183.6255697
Masses: 1 : 1 : 1
Energy: -2.01494
Angular momentum: 0
Closest approach: 0.003882
Top speed: 16.10
Path length: 522.66
Alignments per period: 358
Stability: unstable (|λ|max 21.66)
Loop closure: 2.3×10⁻²⁵

Neighbours on the map

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