Astronomy and Astrophysics – Astrophysics
Scientific paper
1994-09-13
Mon.Not.Roy.Astron.Soc.275:483-497,1995
Astronomy and Astrophysics
Astrophysics
(afh@roe.ac.uk,ant@roe.ac.uk) 23 pages, uuencoded, compressed postscript
Scientific paper
We re-examine the effects of redshift space distortion in all-sky galaxy redshift surveys in the formalism of spherical harmonics. Within this framework we show how one can treat both the large-scale linear effects, and the small-scale nonlinear clustering, exactly to first order. The method also allows in principle a determination of the power spectrum of perturbations, requiring no assumptions beyond that of linear theory. The method therefore offers significant advantages over Fourier techniques when dealing with all-sky surveys. We apply our likelihood analysis to both simulated data, and real data, using the IRAS 1.2-Jy galaxy catalogue, for which we find a maximum likelihood $\beta \simeq 1.1\pm 0.3$, and a real-space fluctuation amplitude corresponding to $\sigma_{8,{\rm IRAS}} = 0.68\pm 0.05$.
Heavens Alan F.
Taylor Andy N.
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