  We study the planar magnetic textures in an insulating magnetic film coupled
to the Dirac surface state of a topological insulator. It is shown that the
radial vortex with winding number $w=\pm1$ leads to the confinement of Dirac
states, where an exact mapping to the Schr\"{o}dinger equation of a
two-dimensional hydrogen atom is found. The fully spin polarized zero energy
bound state resembles the zeroth Landau level of Dirac electrons in a uniform
out-of-plane magnetic field. Interestingly, when the hybrid system is proximity
coupled to an $s$-wave superconductor, the existence of Majorana zero modes at
Abrikosov vortex depends only on the relative value of the magnetic exchange
coupling and the pairing strength. We conclude with a brief discussion on the
physical realization with such magnetic textures.
