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Table 12:

Theoretical quadratic period-luminosity relations for fundamental pulsators in the various individual cases.
Case a b c $\sigma$
    $\overline{M_B}$    
$Z_{\rm low}$ -0.62 $\pm$ 0.03 -2.92 $\pm$ 0.08 0.18 $\pm$ 0.04 0.27
$Z_{\rm high}$ -0.25 $\pm$ 0.08 -4.32 $\pm$ 0.22 1.35 $\pm$ 0.14 0.27
$Y_{\rm high}$ -0.74 $\pm$ 0.10 -2.92 $\pm$ 0.20 0.30 $\pm$ 0.09 0.36
    $\overline{M_V}$    
$Z_{\rm low}$ -1.10 $\pm$ 0.02 -3.08 $\pm$ 0.06 0.11 $\pm$ 0.03 0.20
$Z_{\rm high}$ -0.87 $\pm$ 0.06 -4.12 $\pm$ 0.16 0.96 $\pm$ 0.10 0.20
$Y_{\rm high}$ -1.19 $\pm$ 0.07 -3.09 $\pm$ 0.14 0.20 $\pm$ 0.07 0.27
    $\overline{M_R}$    
$Z_{\rm low}$ -1.40 $\pm$ 0.02 -3.15 $\pm$ 0.05 0.08 $\pm$ 0.03 0.16
$Z_{\rm high}$ -1.21 $\pm$ 0.05 -4.05 $\pm$ 0.14 0.81 $\pm$ 0.09 0.17
$Y_{\rm high}$ -1.47 $\pm$ 0.06 -3.17 $\pm$ 0.12 0.16 $\pm$ 0.06 0.23
    $\overline{M_I}$    
$Z_{\rm low}$ -1.71 $\pm$ 0.02 -3.22 $\pm$ 0.04 0.07 $\pm$ 0.02 0.14
$Z_{\rm high}$ -1.54 $\pm$ 0.04 -4.01 $\pm$ 0.12 0.70 $\pm$ 0.07 0.14
$Y_{\rm high}$ -1.76 $\pm$ 0.05 -3.25 $\pm$ 0.10 0.14 $\pm$ 0.05 0.19
    $\overline{M_J}$    
$Z_{\rm low}$ -2.09 $\pm$ 0.01 -3.32 $\pm$ 0.03 0.04 $\pm$ 0.02 0.10
$Z_{\rm high}$ -1.97 $\pm$ 0.03 -3.90 $\pm$ 0.08 0.50 $\pm$ 0.05 0.10
$Y_{\rm high}$ -2.13 $\pm$ 0.04 -3.34 $\pm$ 0.08 0.09 $\pm$ 0.04 0.14
    $\overline{M_K}$    
$Z_{\rm low}$ -2.42 $\pm$ 0.01 -3.41 $\pm$ 0.02 0.02 $\pm$ 0.01 0.06
$Z_{\rm high}$ -2.34 $\pm$ 0.02 -3.80 $\pm$ 0.05 0.31 $\pm$ 0.03 0.07
$Y_{\rm high}$ -2.43 $\pm$ 0.02 -3.43 $\pm$ 0.05 0.05 $\pm$ 0.02 0.09


Source LaTeX | All tables | In the text

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