Singularity properties of killing magnetic curves in Minkowski 3-space

We define the coordinate equations of killing magnetic curves gamma(s) in R-1(3) with the magnetic vector field V under the frame {gamma'(s), V, V boolean AND gamma'(s)}. In particular, this yields to describe the geometrical properties and singularities of the magnetic curves and the magnetic normal binormal surfaces. Meanwhile, we establish the relationships between singularity types of the magnetic normal binormal surfaces and geometrical invariants of the magnetic curves. As an application, we give an example to explain the main results in this paper, where we give the classification of singularity types of the magnetic curves.