Table 7.
Coefficients of the PL, PLC, and PW relations for T2Cs in the LMC.
Relation | Group | α | σα | β | σβ | γ | σγ | RMS | Used stars | Total stars |
---|---|---|---|---|---|---|---|---|---|---|
(mag) | (mag) | (mag dex−1) | (mag dex−1) | (mag) | ||||||
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) |
PLBP | BLHer | 18.348 | 0.130 | −0.840 | 0.250 | 0.29 | 74 | 83 | ||
PLBP | WVir | 19.266 | 0.039 | −2.190 | 0.110 | 0.18 | 98 | 103 | ||
PLBP | BLH & WVir | 18.505 | 0.020 | −1.439 | 0.047 | 0.27 | 175 | 186 | ||
PLG | BLHer | 18.382 | 0.082 | −1.450 | 0.160 | 0.20 | 78 | 85 | ||
PLG | WVir | 19.019 | 0.029 | −2.270 | 0.082 | 0.13 | 93 | 103 | ||
PLG | BLH & WVir | 18.454 | 0.014 | −1.722 | 0.034 | 0.19 | 178 | 188 | ||
PLRP | BLHer | 17.945 | 0.097 | −1.670 | 0.200 | 0.25 | 72 | 83 | ||
PLRP | WVir | 18.538 | 0.033 | −2.363 | 0.092 | 0.14 | 100 | 103 | ||
PLRP | BLH & WVir | 18.092 | 0.012 | −1.943 | 0.030 | 0.17 | 160 | 186 | ||
PLV | BLHer | 18.432 | 0.079 | −1.250 | 0.160 | 0.18 | 73 | 85 | ||
PLV | WVir | 19.066 | 0.039 | −2.150 | 0.110 | 0.17 | 99 | 104 | ||
PLV | BLH & WVir | 18.520 | 0.016 | −1.618 | 0.037 | 0.21 | 178 | 189 | ||
PLI | BLHer | 17.973 | 0.067 | −1.800 | 0.140 | 0.16 | 79 | 85 | ||
PLI | WVir | 18.483 | 0.036 | −2.370 | 0.100 | 0.16 | 102 | 104 | ||
PLI | BLH & WVir | 18.028 | 0.012 | −1.940 | 0.029 | 0.17 | 182 | 189 | ||
PLY | BLHer | 17.711 | 0.082 | −1.680 | 0.170 | 0.19 | 68 | 77 | ||
PLY | WVir | 18.266 | 0.028 | −2.473 | 0.080 | 0.13 | 97 | 100 | ||
PLY | BLH & WVir | 17.823 | 0.012 | −2.048 | 0.029 | 0.16 | 162 | 177 | ||
PLJ | BLHer | 17.657 | 0.069 | −2.250 | 0.140 | 0.17 | 73 | 83 | ||
PLJ | WVir | 17.919 | 0.024 | −2.400 | 0.068 | 0.10 | 94 | 98 | ||
PLJ | BLH & WVir | 17.664 | 0.010 | −2.156 | 0.024 | 0.12 | 162 | 181 | ||
PLK | BLHer | 17.444 | 0.066 | −2.560 | 0.140 | 0.16 | 73 | 84 | ||
PLK | WVir | 17.508 | 0.019 | −2.439 | 0.053 | 0.08 | 98 | 103 | ||
PLK | BLH & WVir | 17.410 | 0.009 | −2.348 | 0.019 | 0.10 | 165 | 187 | ||
PWG | BLH & WVir | 17.445 | 0.009 | −2.436 | 0.022 | 0.14 | 170 | 186 | ||
PWVI | BLH & WVir | 17.337 | 0.010 | −2.491 | 0.022 | 0.12 | 177 | 189 | ||
PWVK | BLH & WVir | 17.282 | 0.007 | −2.475 | 0.017 | 0.09 | 160 | 187 | ||
PWYK | BLH & WVir | 17.226 | 0.007 | −2.516 | 0.017 | 0.09 | 151 | 177 | ||
PWJK | BLH & WVir | 17.251 | 0.006 | −2.501 | 0.016 | 0.08 | 146 | 181 | ||
PLCG | BLH & WVir | 17.334 | 0.009 | −2.501 | 0.033 | 2.070 | 0.062 | 0.15 | 170 | 186 |
PLCVI | BLH & WVir | 17.143 | 0.013 | −2.604 | 0.036 | 2.912 | 0.092 | 0.10 | 168 | 189 |
PLCVK | BLH & WVir | 17.295 | 0.007 | −2.447 | 0.029 | 0.118 | 0.030 | 0.09 | 162 | 187 |
PLCYK | BLH & WVir | 17.325 | 0.008 | −2.421 | 0.026 | 0.223 | 0.059 | 0.09 | 157 | 177 |
PLCJK | BLH & WVir | 17.252 | 0.007 | −2.493 | 0.025 | 0.691 | 0.099 | 0.075 | 145 | 181 |
Notes. The PL relations have the form y = α + β × x, where x, and y are the period and magnitude, respectively. For PLCs we have z = α + β × x + γ × y, where x, y, and z are the period, colour and magnitude, respectively. Additional fits are in the Appendix C.2 (Table C.1). The different columns report: (1) the type of relationship and the band of interest; (2) the pulsating class; (3) and (4) the α coefficient (intercept) and relative uncertainty; (5) and (6) the β coefficient (slope as a function of the period) and relative uncertainty; (7) and (8) the γ coefficient (colour term of the PLC) and relative uncertainty; (9) the Root Mean Square (RMS) of the relation; (10) and (11) the number of stars used in the fit and the total number of stars, respectively.
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