Mathematics – Logic
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...379....6n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 379, Sept. 20, 1991, p. 6-18. Research supported by Lady Davis Foundation,
Mathematics
Logic
94
Dark Matter, Density Distribution, Galactic Clusters, Galactic Evolution, Velocity Distribution, Approximation, Cosmology, Equations Of Motion, Many Body Problem
Scientific paper
Practical methods developed for extracting the mass-density fluctuation field of a cosmological system from the peculiar velocity field smoothed on scales of a few Mpc are presented. The methods are local and are based on quasi-linear approximations to the gravitational equations of the motion of a pressureless fluid. They address density fluctuations in the range between 0.7 and 4.5 and are tested against exact solutions in special configurations and against cosmological N-body simulations with Omega = 1 and with Omega = 2. Consideration is given to the exact solution of the continuity equation and to the exact solution of the dynamical Euler-Poisson equation, which turns out to coincide with the linear approximation. The density fluctuation field, based on Lagrangian Zel'dovich approximation, is derived in terms of the partial derivatives of the Eulerian velocity field. It is found that both the continuity equation and the Euler-Poisson equation are closely related to the true density, with a standard deviation of not more than 0.1.
Bertschinger Edmund
Blumenthal George R.
Dekel Avishai
Nusser Adi
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