Atlas391 of 3,942

I.A.26

m₃ = 2

From Li, Jing & Liao (2018)

I.A.26 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 86.295 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 1.140), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000607 of each other at a top speed of 21, line up 238 times a period, and the computed loop closes to 2.2×10⁻¹⁶.

Measured over one period

Period: 86.29506944
Masses: 1 : 1 : 2
Energy: -4.01543
Angular momentum: 0
Closest approach: 6.1×10⁻⁵
Top speed: 209.5
Path length: 270.33
Alignments per period: 238
Topology: ababababABABABAbabababABABABAbabababABABABAbabababABABABAbabababABABABABabababaBABABABabababaBABABABabababaBABABABabababaBABABAB (free-group class)
Stability: weakly unstable (|λ|max 1.140)
Loop closure: 2.2×10⁻¹⁶

Neighbours on the map

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