Pairwise Infall Velocity and Acceleration in the Zel'dovich Approximation
Abstract
Using perturbative methods, nonlinear corrections to the mean pairwise infall velocity and acceleration are investigated both in the Zel'dovich approximation and in the higher order Eulerian perturbation theory. We calculate the secondorder corrections to these two quantities, and find that for a typical colddarkmatter model, predictions of the Zel'dovich approximations are considerably different from that of the Eulerian perturbation theory, even on quasilinear scales. This is an important caveat against the application of this approximation to quantities closely related to the dynamical nature of structure formation.
 Publication:

Publications of the Astronomical Society of Japan
 Pub Date:
 April 1999
 DOI:
 10.1093/pasj/51.2.233
 Bibcode:
 1999PASJ...51..233S
 Keywords:

 ANALYTICAL METHODS;
 COSMOLOGY;
 GALAXIES: CLUSTERING;
 GRAVITATION