Influence of orbital motion on the collapse of ring vortices in an accretion flow

The orbital motion along the directrix of ring vortices (vortex with swirl) regulated by helicity can exert a significant influence on the vortex collapse and motion in a convergent (accretion) flow. The solutions for both single and dipole toroidal vortices in Hamiltonian representation have been obtained. The phenomenon considered can have applications in the astrophysics of active galactic nuclei and the dynamics of atmospheric vortices.