Atlas730 of 3,915

I.A.53

From Li, Jing & Liao (2018)

I.A.53 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 90.269 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 1.046), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00167 of each other at a top speed of 24.4, line up 126 times a period, and the computed loop closes to 4.4×10⁻²⁵.

Measured over one period

Period: 90.26927701
Masses: 1 : 1 : 1
Energy: -1.62571
Angular momentum: 0
Closest approach: 0.001674
Top speed: 24.44
Path length: 237.60
Alignments per period: 126
Stability: weakly unstable (|λ|max 1.046)
Loop closure: 4.4×10⁻²⁵

Neighbours on the map

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