One-sided toroidal magnetic flux throughout BH 2 as a function of φ and time. The upper panel shows the absolute flux values, the middle panel shows the fluxes normalized by the azimuth-averaged value, and the lower panel shows the maximal and minimal Φ_t (dotted black lines) compared to the vertical flux Φ_z indicated with a solid red line. Dashed white lines in the upper two panels correspond to rotation at a rate ﹩{{\rm{\Omega }}}_{{\rm{K}}}({r}_{{\rm{p}}})=\sqrt{GM/{r}_{{\rm{p}}}^{3}}﹩ and Ω_K(500 R_⊙). White dotted lines highlight the azimuth of the pericenter.