Atlas635 of 3,915

I.A.48

From Li, Jing & Liao (2018)

I.A.48 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 37.028 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 375.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00156 of each other at a top speed of 25.4, line up 66 times a period, and the computed loop closes to 4.3×10⁻²⁶.

Measured over one period

Period: 37.02827703
Masses: 1 : 1 : 1
Energy: -1.91724
Angular momentum: 0
Closest approach: 0.001563
Top speed: 25.36
Path length: 106.26
Alignments per period: 66
Stability: unstable (|λ|max 375.4)
Loop closure: 4.3×10⁻²⁶

Neighbours on the map

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