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Potential, velocity, and density fields from sparse and noisy redshift-distance samples - Method
Dekel, Avishai; Bertschinger, Edmund; Faber, Sandra M.
AA(Jerusalem, Hebrew University, Israel), AB(MIT, Cambridge, MA), AC(Lick Observatory; California, University, Santa Cruz)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 364, Dec. 1, 1990, p. 349-369. Research supported by the U.S. - Israel Binational Science Foundation and Israel Academy of Sciences and Humanities. (ApJ Homepage)
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NASA/STI Keywords:
Galactic Clusters, Potential Fields, Radial Velocity, Red Shift, Space Density, Computational Astrophysics, Density Distribution, Iteration, Monte Carlo Method, Tensors, Velocity Distribution
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A method for recovering the three-dimensional potential, velocity, and density fields from large-scale redshift-distance samples is described. Galaxies are taken as tracers of the velocity field, not of the mass. The density field and the initial conditions are calculated using an iterative procedure that applies the no-vorticity assumption at an initial time and uses the Zel'dovich approximation to relate initial and final positions of particles on a grid. The method is tested using a cosmological N-body simulation 'observed' at the positions of real galaxies in a redshift-distance sample, taking into account their distance measurement errors. Malmquist bias and other systematic and statistical errors are extensively explored using both analytical techniques and Monte Carlo simulations.

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