Large-scale radial velocity correlations as a test of Gaussian initial conditions

Details Large-scale radial velocity correlations as a test of Gaussian initial conditions Large-scale radial velocity correlations as a test of Gaussian initial conditions

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...394...25l&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 394, no. 1, July 20, 1992, p. 25-37. Research supported by NSF-Hungary Exch

Statistics

Computation

12

Computational Astrophysics, Elliptical Galaxies, Radial Velocity, Astronomical Models, Correlation Coefficients, Mass Distribution, Monte Carlo Method, Relic Radiation, Velocity Distribution

Scientific paper

A relation between higher order velocity correlation functions of Gaussian random fields is used to test for the Gaussian character of the large-scale mass fluctuation spectrum as a function of scale. The consistency of the hypothesis that the initial fluctuation spectrum can be considered an isotropic Gaussian random field with random phase and that the present distribution has grown linearly as a result of gravitational instabilities is verified. A simulated Gaussian random velocity field is used to investigate the effects of distance errors, thermal motion, selection functions, Malmquist corrections, and different weighting schemes on the correlation functions. A consistency with the assumption of a Gaussian field is shown.

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