Atlas699 of 3,915

I.A.76

From Li, Jing & Liao (2018)

I.A.76 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 111.63 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 weakly unstable (largest Floquet multiplier 8.961), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000372 of each other at a top speed of 51.9, line up 170 times a period, and the computed loop closes to 8.6×10⁻²⁵.

Measured over one period

Period: 111.6289869
Masses: 1 : 1 : 1
Energy: -1.73206
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 51.89
Path length: 307.48
Alignments per period: 170
Stability: weakly unstable (|λ|max 8.961)
Loop closure: 8.6×10⁻²⁵

Neighbours on the map

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