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Predicting the peculiar velocities of nearby PSCz galaxies using the Least Action Principle
Authors:J Sharpe  M Rowan-Robinson  A Canavezes  W Saunders  E Branchini  G Efstathiou  C Frenk  O Keeble  R G McMahon  S Maddox  S J Oliver  W Sutherland  H Tadros †  S D M White
Institution:Astrophysics Group, Blackett Laboratory, Imperial College of Science, Technology and Medicine, Prince Consort Road, London SW7 2BZ;Institute for Astronomy, University of Edinburgh, Blackford Hill, Edinburgh EH9 3JS;Department of Physics, University of Durham, South Road, Durham DH1 3LE;Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 OHA;Department of Physics, University of Oxford, Keble Road, Oxford OX1 3RH;Department of Physics, University of Sussex, Falmer, Brighton BN1 9QH;Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Straße 1, 85740 Garching bei München, Germany
Abstract:We use the Least Action Principle to predict the peculiar velocities of PSC z galaxies inside cz =2000 km s?1. Linear theory is used to account for tidal effects to cz =15 000 km s?1, and we iterate galaxy positions to account for redshift distortions. As the Least Action Principle is valid beyond linear theory, we can predict reliable peculiar velocities even for very nearby galaxies (i.e., cz ≤500 km s?1). These predicted peculiar velocities are then compared with the observed velocities of 12 galaxies with Cepheid distances. The combination of the PSC z galaxy survey (with its large sky coverage and uniform selection) with the accurate Cepheid distances makes this comparison relatively free from systematic effects. We find that galaxies are good tracers of the mass, even at small (≤10  h ?1 Mpc) scales; under the assumption of no biasing, 0.25≤ β ≤0.75 (at 90 per cent confidence). We use the reliable predicted peculiar velocities to estimate the Hubble constant H 0 from the local volume without 'stepping up' the distance ladder, finding a confidence range of 65–75 km s?1 Mpc?1 (at 90 per cent confidence).
Keywords:methods: numerical  galaxies: distances and redshifts  dark matter  distance scale  large-scale structure of Universe
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