Atlas749 of 3,915

I.A.69

From Li, Jing & Liao (2018)

I.A.69 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 140.93 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 3.082), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00214 of each other at a top speed of 21.6, line up 150 times a period, and the computed loop closes to 1.2×10⁻²⁵.

Measured over one period

Period: 140.9274474
Masses: 1 : 1 : 1
Energy: -1.38635
Angular momentum: 0
Closest approach: 0.002144
Top speed: 21.60
Path length: 362.97
Alignments per period: 150
Stability: weakly unstable (|λ|max 3.082)
Loop closure: 1.2×10⁻²⁵

Neighbours on the map

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