Atlas568 of 3,915

I.A.9

From Li, Jing & Liao (2018)

I.A.9 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 43.87 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 21.27), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00329 of each other at a top speed of 17.5, line up 54 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 43.86983119
Masses: 1 : 1 : 1
Energy: -1.48362
Angular momentum: 0
Closest approach: 0.003291
Top speed: 17.49
Path length: 106.66
Alignments per period: 54
Stability: unstable (|λ|max 21.27)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

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