Atlas709 of 3,942

I.A.11

From Li, Jing & Liao (2018)

I.A.11 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 49.595 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 2.993), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0157 of each other at a top speed of 8, line up 50 times a period, and the computed loop closes to 2.4×10⁻²⁷.

Measured over one period

Period: 49.59540332
Masses: 1 : 1 : 1
Energy: -1.33264
Angular momentum: 0
Closest approach: 0.01565
Top speed: 8.003
Path length: 124.81
Alignments per period: 50
Topology: abaBAbaBAbabABabABAbaBAbaBABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.993)
Loop closure: 2.4×10⁻²⁷

Neighbours on the map

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