Redshift distortions of galaxy correlation functions
| dc.creator | Fry, J. N. | |
| dc.creator | Gaztanaga, Enrique | |
| dc.date | 1993-05-26 | |
| dc.date.accessioned | 2026-07-07T10:34:48Z | |
| dc.date.available | 2026-07-07T10:34:48Z | |
| dc.description | 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 $γ$ 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 $Ω^{4/7}/b \approx 1$. We estimate $Ω^{4/7}/b$ 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 $S_4$ | |
| dc.description | 20 pages (12 figues available on request), LaTeX, FERMILAB-Pub-93-097-A | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9305032 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9305032 | |
| dc.identifier | Astrophys.J.425:1-13,1994 | |
| dc.identifier | doi:10.1086/173956 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179561 | |
| dc.subject | Astrophysics | |
| dc.title | Redshift distortions of galaxy correlation functions | |
| dc.type | text |