Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-08-04
Mon.Not.Roy.Astron.Soc. 267 (1994) 785
Astronomy and Astrophysics
Astrophysics
uuencoded compressed postscript file
Scientific paper
The peculiar velocities of galaxies distort the pattern of galaxy clustering in redshift space, making the redshift space power spectrum anisotropic. In the linear regime, the strength of this distortion depends only on the ratio $\beta \equiv f(\Omega)/b \approx \Omega^{0.6}/b$, where $\Omega$ is the cosmological density parameter and $b$ is the bias parameter. We derive a linear theory estimator for $\beta$ based on the harmonic moments of the redshift space power spectrum. Using N-body simulations, we examine the impact of non-linear gravitational clustering on the power spectrum anisotropy and on our $\beta$-estimator. Non-linear effects can be important out to wavelengths $\lambda \sim 50$Mpc/h or larger; in most cases, they lower the quadrupole moment of the power spectrum and thereby depress the estimate of $\beta$ below the true value. With a sufficiently large redshift survey, the scaling of non-linear effects may allow separate determinations of $\Omega$ and $b$. We describe a practical technique for measuring the anisotropy of the power spectrum from galaxy redshift surveys, and we test the technique on mock catalogues drawn from the N-body simulations. Preliminary application of our methods to the 1.2 Jy IRAS galaxy survey yields $\beta_{est} \sim 0.3-0.4 $ at wavelengths $\lambda \sim 30-40$Mpc/h . Non-linear effects remain important at these scales, so this estimate of $\beta$ is probably lower than the true value.
Cole Shaun
Fisher Karl B.
Weinberg David H.
No associations
LandOfFree
Fourier Analysis of Redshift Space Distortions and the Determination of Omega does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fourier Analysis of Redshift Space Distortions and the Determination of Omega, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fourier Analysis of Redshift Space Distortions and the Determination of Omega will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-373838