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40. Beyond Fornax: type Ia supernovae

In a separate paper (Freedman et al. 1997) details are reported on the impact of a Cepheid distance to Fornax specifically on the calibration and application of Type Ia supernovae to the extragalactic distance scale. Various calibrations dealing with interstellar extinction and/or decline-rate correlations are presented. Application to the distant Type Ia supernovae (Hamuy et al. 1995) gives H0 = 68 (± 8)r km/sec/Mpc.

Figure 38 Figure 38. A graphical representation of Table 5 showing the various determinations of the Hubble constant, and the adopted mean. Each value of H0 and its statistical uncertainty is represented by a Gaussian of unit area (linked dotted line) centred on its determined value and having a dispersion equal to the quoted random error. Superposed immediately above each Gaussian is a horizontal bar representing the one sigma limits of the calculated systematic errors derived for that determination. The adopted average value and its probability distribution function (continuous solid line) is the arithmetic sum of the individual Gaussians. (This simple representation treats each determination as independent, assuming no a priori reason to prefer one solution over another.)

Figure 39 Figure 39. Lines of fixed time representing the theoretical ages of the oldest globular cluster stars are shown for 12, 14 and 16 Gyr, plotted as a function of the expansion rate H0 and density parameter Omega0, for an Einstein-de Sitter universe with the cosmological constant Lambda = 0. The thick dashed horizontal line at H = 72 (±2)r [±12]s km/sec/Mpc is the average value of the Hubble constant given in Table 5. The parallel (solid) lines on either side of that solution represent the one-sigma random errors on that solution. Systematic errors on the solution for H0 are represented by thin dashed lines at 61 and 83 km/sec/Mpc. The only region of (marginal) overlap between these two constraints is in the low density (Omega < 0.2) regime, unless Lambda neq 0. If the globular cluster ages are assumed to place a lower bound on the age of the Universe, the region of plausible overlap between the two solutions is more severely restricted to even lower density models.

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