Atlas719 of 3,942

I.A.11

m₃ = 2

From Li, Jing & Liao (2018)

I.A.11 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 78.688 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 48.36), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00238 of each other at a top speed of 33.5, line up 122 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 78.68761305
Masses: 1 : 1 : 2
Energy: -2.77820
Angular momentum: 0
Closest approach: 0.002385
Top speed: 33.48
Path length: 236.14
Alignments per period: 122
Topology: ababaBABAbababABABAbababABABAbababABABAbabaBABABababaBABABababaBABAB (free-group class)
Stability: unstable (|λ|max 48.36)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

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