Second-order solution for determining density and velocity fields of galaxies

Details Second-order solution for determining density and velocity fields of galaxies Second-order solution for determining density and velocity fields of galaxies

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...405l..47g&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 405, no. 2, p. L47-L50.

Astronomy and Astrophysics

Astrophysics

49

Cosmology, Density Distribution, Galactic Clusters, Velocity Distribution, Mass Distribution, Perturbation Theory

Scientific paper

In this Letter, I use second-order Lagrangian perturbation theory to calculate an analytical expression relating density to velocity in a gravitating system. This solution can be used to compare peculiar velocity field measurements with observations of large-scale structure. The predictions of both linear theory and second-order theory are compared with the results of N-body simulations. While linear theory systematically overestimates the velocity flows in high-density regions, the second-order corrections calculated herein remove this systematic error.

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