Atlas729 of 3,915

I.A.82

From Li, Jing & Liao (2018)

I.A.82 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 131.96 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 14.82), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00121 of each other at a top speed of 28.7, line up 186 times a period, and the computed loop closes to 3.8×10⁻²⁵.

Measured over one period

Period: 131.9570561
Masses: 1 : 1 : 1
Energy: -1.63523
Angular momentum: 0
Closest approach: 0.001212
Top speed: 28.72
Path length: 347.69
Alignments per period: 186
Stability: unstable (|λ|max 14.82)
Loop closure: 3.8×10⁻²⁵

Neighbours on the map

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