A Note on the Serret-Frenet Frame for Spacelike Curves

A system of equations has been defined to characterize a spacelike curve in three-dimensional Minkowski space, given the curvature κ and the angle of rotation θ around the osculating plane. The set of equations expresses the Serret-Frenet equations in terms of κ and θ, and for every value of τ, there is a unique value of θ. The system of equations has been analysed for the cases where κ or θ, are constant. Finally, the tangent vector field and torsion have been calculated using methods developed for specific values of κ and θ.