Table 2: Best fit model parameters for Polaris and its CSE. $\theta _\star$ is the stellar angular diameter (mas), $\alpha$ the CLD coefficient, $\theta _{\rm s}$ the shell angular diameter (mas), w the shell width (mas) and $F_{\rm s}/F_\star$ the relative brightness (Fig. 3). Last column tabulates the reduced $\chi ^2$ . Only parameters with error bars (lower scripts) have been fitted. The first line is the hydrostatic model; the second line is the adjusted CLD; the model of the last line includes a shell.
$\theta _\star$ $\alpha$ $\theta _{\rm s}$ w $F_{\rm s}/F_\star$ $\chi ^2$

$3.152_{\pm 0.003}$ 0.16 - - - 4.5

$3.189_{\pm 0.005}$ $0.26_{\pm 0.01}$ - - - 2.5

$3.123_{\pm 0.008}$ 0.16 $7.5_{\pm 0.2}$ 0.5 $1.5_{\pm 0.4}\%$ 1.4

**Table 2:** Best fit model parameters for Polaris and its CSE. $\theta _\star$ is the stellar angular diameter (mas), $\alpha$ the CLD coefficient, $\theta _{\rm s}$ the shell angular diameter (mas), w the shell width (mas) and $F_{\rm s}/F_\star$ the relative brightness (Fig. 3). Last column tabulates the reduced $\chi ^2$ . Only parameters with error bars (lower scripts) have been fitted. The first line is the hydrostatic model; the second line is the adjusted CLD; the model of the last line includes a shell.
$\theta _\star$	$\alpha$	$\theta _{\rm s}$	w	$F_{\rm s}/F_\star$	$\chi ^2$
$3.152_{\pm 0.003}$	0.16	-	-	-	4.5
$3.189_{\pm 0.005}$	$0.26_{\pm 0.01}$	-	-	-	2.5
$3.123_{\pm 0.008}$	0.16	$7.5_{\pm 0.2}$	0.5	$1.5_{\pm 0.4}\%$	1.4

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