Atlas673 of 3,915

I.A.86

From Li, Jing & Liao (2018)

I.A.86 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 137.72 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 15.25), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000336 of each other at a top speed of 54.6, line up 190 times a period, and the computed loop closes to 6.8×10⁻²⁵.

Measured over one period

Period: 137.7155575
Masses: 1 : 1 : 1
Energy: -1.62056
Angular momentum: 0
Closest approach: 3.4×10⁻⁴
Top speed: 54.57
Path length: 366.37
Alignments per period: 190
Stability: unstable (|λ|max 15.25)
Loop closure: 6.8×10⁻²⁵

Neighbours on the map

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