Table 5: Alfvén Mach numbers $M_{\rm A}=v_r/A_r$ at the locations of HD 46375 b and $\upsilon $ And b for parallel and antiparallel directions of stellar rotation and planetary movement. The values were derived for different magnetic field strengths B0 at the coronal base as well as different stellar rotation periods  $P_{\rm {rot}}$ and coronal temperatures T as given in the table.
  B0 [10-4 T] 1 1 10 10
  $P_{\rm {rot}}$ [d] 3 30 3 30
  T [106 K] 0.5
  $M_{\rm A}$ 0.50 0.40 0.06 0.04
HD 46375 b $M_{\rm A\uparrow\uparrow}$ 0.61 0.84 0.06 0.08
  $M_{\rm A\uparrow\downarrow}$ 1.03 0.91 0.12 0.09
  $M_{\rm A}$ 0.40 0.27 0.05 0.03
$\upsilon $ And b $M_{\rm A\uparrow\uparrow}$ 0.42 0.55 0.05 0.05
  $M_{\rm A\uparrow\downarrow}$ 0.73 0.63 0.09 0.06
  T [106 K] 2.0
  $M_{\rm A}$ 0.92 0.91 0.09 0.09
HD 46375 b $M_{\rm A\uparrow\uparrow}$ 0.96 0.97 0.10 0.10
  $M_{\rm A\uparrow\downarrow}$ 1.00 0.98 0.11 0.10
  $M_{\rm A}$ 0.64 0.63 0.07 0.06
$\upsilon $ And b $M_{\rm A\uparrow\uparrow}$ 0.66 0.66 0.07 0.07
  $M_{\rm A\uparrow\downarrow}$ 0.71 0.67 0.08 0.07


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