Helicity of the toroidal vortex with swirl

On the basis of solution of the Bragg-Hawthorne equations it is shown that relationship of the helicity of toroidal swirling vortex with circulations along the small and large linked circles depends on distribution of azimuthal velocity in the core of vortex ring and differs from the well-known Moffat relationship - the doubled product of circulations multiplied by the number of links