Theoretical implications of deviations from Hubble flow

Statistics – Computation

Scientific paper

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Astronomical Spectroscopy, Computational Astrophysics, Dark Matter, Elliptical Galaxies, Galactic Clusters, Hubble Diagram, Maximum Likelihood Estimates, Power Spectra, Spiral Galaxies, Velocity Distribution

Scientific paper

The net streaming solution found by Dressler et al. for their sample of elliptical galaxies can be modelled as the convolution of the peculiar velocity field with a tensor window function. For the cold dark matter spectrum normalized to unit mass variance in 8 h-1Mpc spheres the prediction is in good agreement with the observation. If galaxy clustering is biased upward this will reduce the predictions, and a bias factor b > 2 gives an unacceptably small prediction. An attempt is made to normalize the amplitude directly to form rich clusters, and this gives a prediction which is smaller than the unbiased model but still acceptable. The author has combined the elliptical data with the cluster spirals of Aaronson et al. to form a sample of 35 clusters or loose clumps and has calculated the likelihood function for a family of theoretical velocity power spectra.

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