Cluster population incompleteness bias and the value of H(0) from the Tully-Fisher B0(T) relation

Astronomy and Astrophysics – Astrophysics

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Error Analysis, Hubble Constant, Population Theory, Statistical Analysis, Virgo Galactic Cluster, Bias, Cosmology, Distance

Scientific paper

The influence of the cluster population incompleteness bias, introduced by Teerikorpi (1987), on the B-band Tully-Fisher relation is investigated from the data on the Virgo cluster and 10 other more distant clusters. When cutting the samples at the apparent magnitudes below which they may be considered as being nearly complete, and using the normalization suggested in the above reference, the bias is clearly put in evidence for the combined sample. The data are well fitted by a theoretical curve, obtained for H0 = (72±5) km s-1Mpc-1 in de Vaucouleurs local scale. It is concluded that the true value of the Hubble constant lies somewhere between 50 and 75, depending essentially on the primary calibration; the previously discussed larger disagreement seems to be due to an underestimation of the Malmquist or the cluster incompleteness biases.

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