Investigating the dynamics of point helical vortices on a rotating sphere to model tropical cyclones

A general exact weak solution to the nonlinear equation of conservation absolute vorticity in a thin layer an incompressible medium on rotating sphere is proposed. It takes into account helicity point vortices and non-uniformity depth layer. This used develop model observed interactions spiral atmospheric vortices. The fusion two helical (HVs) considered. We also analyze prognostic applicability dynamics HVs for modeling abrupt changes trajectories tropical cyclones their landfall comparison with traditional approach. analytical condition chiral symmetry violation related direction movement center cyclone obtained.