The Omega dependence of peculiar velocities induced by spherical density perturbations

Statistics – Computation

Scientific paper

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Density Distribution, Red Shift, Space Density, Velocity Distribution, Computational Astrophysics, Perturbation Theory

Scientific paper

An attempt is made to clarify the approximate nature of the commonly used Omega exp 0.6 formulas. The velocity of a shell surrounding a spherical density perturbation with average fractional overdensity Delta rho/rho in an otherwise Friedmann universe is expanded here in powers of Delta rho/rho. An expression is obtained for the fractional velocity change of the perturbed shell.

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