Study of the dynamics of a helical vortex with use of the Local Induced Approximation

\nA problem on origin of the instability of a conical helical vortex, which manifests itself in the distortion of the original shape, the convergence of the spiral turns, and the formation of loop-like structures, preceding subsequent vortex reconnection. For modelling the phenomenon, an economical method is used to calculate the dynamics of a vortex filament based on the Local Induction Approximation. The characteristics of the instability parameters are revealed depending on the geometric characteristics of the vortex.\n