Table 6: Results for $\upsilon $ And b and HD 46375 b obtained with the Weber & Davis model with coronal temperatures T, magnetic field strengths B0 and rotation periods $P_{\rm {rot}}$ as given as general parameters. For the two planets the radial and azimuthal velocity components  $(v_r,v_\varphi )$ and the azimuthal magnetic field components $B_\varphi $ at the location of the planets are listed. With these, the magnetospheric stand-off distances $R_{\rm m}$ and magnetic moments ${\vec M}$ were estimated, followed by the power P that can be deposited by the stellar wind into the magnetosphere. For comparison the stand-off distance and the power input into the magnetosphere for the same planet located at 1 AU are also given.
General parameters
T [106 K] 0.5 0.5 0.5 0.5 2.0 2.0 2.0 2.0
B0 [10-4 T] 1 1 10 10 1 1 10 10
$P_{\rm {rot}}$ [d] 3 30 3 30 3 30 3 30
$\upsilon $ And b
vr [km s-1] 160 73 199 74 406 383 438 383
$v_{\varphi}$ [km s-1] 101 12 179 17 48 5 139 10
$B_\varphi $ [10-7 T] -9.2 -1.6 -24.2 -8.1 -5.3 -0.6 -22.5 -4.0
Rm [$R_{\rm J}$] 5 6 3 3 5 5 3 3
${\vec M}$ [ $M_{\rm J}$] 0.183
P [1017 J] 0.850 0.017 5.842 0.198 0.475 0.005 5.434 0.096
$R_{{m,{\rm AU}}}$ [$R_{\rm J}$] 15 16 11 14 13 14 11 13
$P_{{m,{\rm AU}}}$ [1015 J] 0.017 0.029 28.846 1.712 0.794 0.009 27.200 0.766
HD 46375 b
vr [km s-1] 119 76 148 77 398 389 413 389
$v_{\varphi}$ [km s-1] 65 8 118 11 26 3 77 6
$B_\varphi $ [10-7 T] -8.97 -1.23 -26.7 -6.6 -3.97 -0.4056 -22.4 -2.88
${\vec M}$ [ $M_{\rm J}$] 0.059
Rm [$R_{\rm J}$] 3 4 2 2 3 3 2 2
P [1017 Js-1] 0.262 0.004 2.081 0.052 0.104 0.001 1.747 0.023
$R_{{m,{\rm AU}}}$ [$R_{\rm J}$] 10 11 8 10 9 9 8 9
$P_{{m,{\rm AU}}}$[1015 J] 0.211 0.003 5.500 0.236 0.085 0.001 4.784 0.084


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