Atlas726 of 3,942

I.A.50

From Li, Jing & Liao (2018)

I.A.50 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.507 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 859.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0105 of each other at a top speed of 9.87, line up 78 times a period, and the computed loop closes to 1.9×10⁻²⁶.

Measured over one period

Period: 61.50665125
Masses: 1 : 1 : 1
Energy: -1.55753
Angular momentum: 0
Closest approach: 0.01046
Top speed: 9.869
Path length: 158.83
Alignments per period: 78
Topology: aaBAbaBAbaBAbaBAbaBBabABabAAbaBAbaBAbaBAbaBAbbABabAB (free-group class)
Stability: unstable (|λ|max 859.8)
Loop closure: 1.9×10⁻²⁶

Neighbours on the map

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