Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-05-26
Astrophys.J.425:1-13,1994
Astronomy and Astrophysics
Astrophysics
20 pages (12 figues available on request), LaTeX, FERMILAB-Pub-93-097-A
Scientific paper
10.1086/173956
To examine how peculiar velocities can affect the 2-, 3-, and 4-point redshift correlation functions, we evaluate volume-average correlations for configurations that emphasize and minimize redshift distortions for four different volume-limited samples from each of the CfA, SSRS, and IRAS redshift catalogs. We find a characteristic distortion for the 2-point correlation, $\xibar_2$: the slope $\gamma$ is flatter and the correlation length is larger in redshift space than in real space; that is, redshift distortions ``move'' correlations from small to large scales. At the largest scales (up to $12 \Mpc$), the extra power in the redshift distribution is compatible with $\Omega^{4/7}/b \approx 1$. We estimate $\Omega^{4/7}/b$ to be $0.53 \pm 0.15$, $1.10 \pm 0.16$ and $0.84 \pm 0.45$ for the CfA, SSRS and IRAS catalogs. Higher order correlations $\xibar_3$ and $\xibar_4$ suffer similar redshift distortions, but in such a way that, within the accuracy of our analysis, the normalized amplitudes $S_3$ and $S_4$ are insensitive to this effect. The hierarchical amplitudes $S_3$ and $S_4$ are constant as a function of scale between 1--$12 \Mpc$ and have similar values in all samples and catalogues, $S_3 \approx 2$ and $S_4 \approx 6$, despite the fact that $\xibar_2$, $\xibar_3$, and $\xibar_4$ differ from one sample to another by large factors (up to a factor of 4 in $\xibar_2$, 8 for $\xibar_3$, and 12 for $\xibar_4$). The agreement between the independent estimations of $S_3$ and $S_4$
Fry James N.
Gaztanaga Enrique
No associations
LandOfFree
Redshift distortions of galaxy correlation functions 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 Redshift distortions of galaxy correlation functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Redshift distortions of galaxy correlation functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-146811