The Hubble Constant and X-rays from Galaxy Clusters

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X-RAY measurements and limits on the Coma and Virgo clusters of galaxies have been said to limit the mass of hot gas in them to 2% of the amount required for stabilization according to the virial theorem1. Such a conclusion is strongly dependent on the value of the Hubble constant H 0. The linear diameter of the cluster D and the cluster mass M, estimated by the virial theorem, each vary as H 0 -1. Therefore, the density ρ has the dependence ρ~H 0 2. The predicted X-ray flux F from this gas is ~ρM/R 2, where R is the distance to the cluster. R varies as H 0 -1. We therefore have the relation Meekins et al. 1 appear to have used the value H 0 = 95 km s-1 Mpc-1 found by van den Bergh2, because they took R= 70 Mpc. If Abell's value3 H 0 = 47 is used, the predicted flux is reduced by a factor of 0.12. A reduction of H 0 to a value as low as 20 is not inconceivable. Although clumpiness increases F/M 2, the presence of helium as a mass fraction f reduces F for fixed M in the ratio (1-½f).

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