Investigations of the Local supercluster velocity field - II. A study using Tolman-Bondi solution and galaxies with accurate distances from the Cepheid PL-relation

A sample of 32 galaxies with accurate distance moduli from the Cepheid PL-r elation (Lanoix 1999) has been used to study the dynamical behaviour of the Local (Virgo) supercluster. We used analytical Tolman-Bondi (TB) solutions for a spherically symmetric density excess embedded in the Einstein-deSitt er universe (q(0) = 0.5), Using 12 galaxies within Theta = 30 degrees from the centre we found a mass estimate of 1.62M(virial) for the Virgo cluster, This agrees with the finding of Teerikorpi et al. (1992) that TB-estimate may be larger than virial mass estimate from Tully & Shaya (1984). Our conc lusions do not critically depend on our primary choice of the global H-0 = 57 km s(-1) Mpc(-1) established from SNe Ia (Lanoix 1999). The remaining ga laxies outside Virgo region do not disagree with this value. Finally, we al so found a TB-solution with the H-0 and q(0) cited yielding exactly one vir ial mass for the Virgo cluster.