Abstract
view Abstract Citations (9) References (36) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Muenster Redshift Project. I. Simulations of Power Spectra and Analytical Corrections Schuecker, Peter ; Ott, Heinz-Albert ; Seitter, Waltraut C. Abstract Random point realizations of Gaussian fluctuation fields are simulated and analyzed in order to illustrate the effects of redshift errors on inhomogeneous galaxy distributions. It is shown that, e.g., for 106 galaxies with redshifts z < 0.3 and errors 001 < _ < 0.03 (similar to the present catalog of the Muenster Redshift Project), volume-averaging statistical methods such as power-spectrum analysis yield small statistical errors. Monte Carlo simulations are supplemented by analytical considerations, showing that with simple relations the measured power spectra can be corrected for the smoothing effect of redshift errors. The most important result of our simulations is the sensitivity of large samples (106 galaxies with z < 0.3) to the expected turnover of the power spe6trum (here assumed to be located at 200 h -1 Mpc for H_{0 }= 100 h km s 1 Mpc -1), even with redshift errors as large as = 0.03. For global cosmological investigations, basic sampling parameters are the size and shape of the total survey volume and the number of objects located within this volume, while random redshift errors of individual galaxies are of minor importance. Publication: The Astrophysical Journal Pub Date: March 1996 DOI: 10.1086/176908 Bibcode: 1996ApJ...459..467S Keywords: COSMOLOGY: THEORY; GALAXIES: CLUSTERS: GENERAL; GALAXIES: DISTANCES AND REDSHIFTS; METHODS: STATISTICAL full text sources ADS | Related Materials (2) Part 2: 1996ApJ...472..485S Part 3: 1998ApJ...496..635S
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