The Durham/UKST Galaxy Redshift Survey - VII. Redshift-space distortions in the power spectrum

m =b: Geometrical distortions also occur if the wrong cosmology is assumed, although these would be relatively small given the low redshift of the survey. To quantify these effects, we assume the real-space power spectrum of the APM Galaxy Survey, and fit a simple model for the redshift-space and geometrical distortions. Assuming a flat Vma 1 universe, we find values for the one-dimensional pairwise velocity dispersion of spa 410 ^ 170 km s 21 ; and ba 0:38 ^ 0:17: An open Vma 0:3; and a flat Vma 0:3; VLa 0:7 universe yield spa 420 km s 21 ; ba 0:40; and spa 440 km s 21 ; ba 0:45; respectively, with comparable errors. These results are consistent with estimates using the two-point galaxy correlation function, j(s ,p), and favour either a low-density universe with Vm , 0:3 if galaxies trace the underlying mass distribution, or a bias factor of b , 2: 5i fVma 1: