Survey of galaxy redshifts. V. The two-point position and velocity correlations

Journal Article · Fri Apr 15 04:00:00 EST 1983 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/160884· OSTI ID:5911571

Davis, M; Peebles, P J.E.

We describe the results of a study of the two-point correlations in the 14.5 m/sub B/ CfA redshift survey. We use the distance information provided by the redshifts to estimate the two-point spatial correlation function zeta(r) in a way that is designed to be unbiased by peculiar velocities. The results agree well with what has been found from the deeper angular distributions. In the fiducial model zeta(r) = (r/sub 0//r)/sup ..gamma../ with ..gamma.. = 1.77 we find r/sub 0/ = 5.4 +- 0.3 h/sup -1/ Mpc (H/sub 0/ = 100 h km s/sup -1/ Mpc/sup -1/). At r> or approx. =10 h/sup -1/ Mpc, zeta(r) seems to steepen and may in fact be negative at 20< or approx. =hr< or approx. =40 Mpc. In existing n-body simulations zeta(r) is poorly modeled by a power law, with more power on small scales and less power on large scales than the data. This confirms the visual impressions that the n-body clusters are too compact and the clusters too homogeneously distributed relative to the data.

• OSTI ID: 5911571
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 267:2; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640101* -- Astrophysics &amp; Cosmology-- Cosmic Radiation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
COSMOLOGY
DATA ANALYSIS
FUNCTIONS
GALAXY CLUSTERS
MANY-BODY PROBLEM
MATHEMATICS
RED SHIFT
STATISTICS