Atlas693 of 3,942

I.A.3

From Li, Jing & Liao (2018)

I.A.3 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 37.321 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 84.89), so a small nudge makes it unravel over a few periods. The bodies pass within 0.503 of each other at a top speed of 1.74, line up 10 times a period, and the computed loop closes to 9.6×10⁻²⁹.

Measured over one period

Period: 37.32052359
Masses: 1 : 1 : 1
Energy: -0.545793
Angular momentum: 0
Closest approach: 0.5026
Top speed: 1.737
Path length: 56.154
Alignments per period: 10
Topology: aabAAB (free-group class)
Stability: unstable (|λ|max 84.89)
Loop closure: 9.6×10⁻²⁹

Neighbours on the map

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