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Table 3.

Best fits of the non-linear models.

Grid of models (Table 2) Non-linear calculation Fitting results

M Teff (K) L (L) R (R) P (days) MKS (mag) d (pc) E(B − V) α β λ0 (μm)
5850 4857 68.84 17.05 −5.89 504.01.6 0.6640.006 −0.270.03 −1.790.32 1.820.14 6.45
3 M 5825 4785 69.52 17.17 −5.90 504.91.3 0.6530.004 −0.320.03 −1.300.17 1.840.13 9.09
5800 4714 70.09 17.26 −5.91 505.91.9 0.6430.007 −0.370.05 −1.060.23 1.830.23 25.86

5825 6060 77.59 17.06 −6.14 566.71.7 0.6550.004 −0.290.02 −1.550.20 1.790.12 4.16
4 M 5800 5961 78.37 17.13 −6.15 567.21.7 0.6430.004 −0.350.03 −1.140.15 1.800.14 10.03
5775 5862 79.10 17.23 −6.16 568.92.7 0.6310.008 −0.430.07 −0.870.24 1.770.28 33.72

5800 7180 85.45 17.15 −6.34 622.01.6 0.6450.003 −0.320.02 −1.340.12 1.760.09 2.50
5 M 5775 7061 86.25 17.21 −6.35 622.62.0 0.6330.004 −0.380.03 −1.010.14 1.750.15 10.86
5750 6942 86.81 17.27 −6.35 623.82.9 0.6220.008 −0.460.08 −0.800.22 1.720.27 29.76

5775 8120 91.83 17.02 −6.49 666.51.7 0.6360.002 −0.340.01 −1.190.08 1.720.07 1.98
6 M 5750 7994 92.61 17.09 −6.50 667.62.1 0.6250.005 −0.410.04 −0.930.14 1.700.16 11.15
5725 7870 93.14 17.16 −6.50 669.22.9 0.6150.008 −0.480.08 −0.760.21 1.650.26 25.59

5750 9194 98.38 17.24 −6.64 714.51.9 0.6300.002 −0.350.01 −1.160.08 1.670.07 1.79
7 M 5725 9031 99.07 17.28 −6.64 715.02.2 0.6190.004 −0.420.03 −0.900.11 1.630.13 7.26
5700 8868 99.56 17.33 −6.64 716.33.0 0.6080.007 −0.490.07 −0.730.18 1.560.24 18.78

5750 10 069 102.14 16.97 −6.73 748.43.7 0.6340.007 −0.320.04 −1.370.29 1.640.20 12.73
8 M 5725 9915 103.36 17.04 −6.74 748.62.1 0.6200.002 −0.380.01 −1.020.06 1.610.06 1.91
5700 9764 104.02 17.11 −6.74 750.42.6 0.6100.004 −0.450.04 −0.830.12 1.540.14 7.30

Notes. For each model computed (M, Teff, L), we derive the average stellar radius, R (R), the pulsation period, P, in days, and the mean absolute magnitude in the KS-band, MKS. We simultaneously fit the distance, d (pc), color excess, E(B − V), and the parameters α, β, and λ0 of the CSE model (see Eq. (6)). The total is the mean reduced χ2 from the observations (see Sect. 4).

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