Killing magnetic curves in a Minkowski 3-space

We classify all magnetic curves in the 3-dimensional Minkowski space corresponding to the Killing magnetic field V=a∂x+b∂y+c∂zV=a∂x+b∂y+c∂z, with a,b,c∈Ra,b,c∈R. We find that they are helices in E13 and we draw the most relevant of them in the end.