Measuring Omega and the real correlation function from the redshift correlation function

Details Measuring Omega and the real correlation function from the redshift correlation function Measuring Omega and the real correlation function from the redshift correlation function

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...385l...5h&link_type=abstract

Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 385, Jan. 20, 1992, p. L5-L8.

Statistics

Computation

188

Correlation, Cosmology, Galactic Clusters, Red Shift, Computational Astrophysics, Power Spectra

Scientific paper

Peculiar velocities distort the correlation function of galaxies in redshift space. In the linear regime, the distortion has a characteristic quadrupole plus hexadecapole form. The amplitude of the distortion depends on the cosmological density parameter Omega. Practical formulas are derived here which can be applied to redshift galaxy catalogs to measure Omega in the linear regime. The formulas also yield the real underlying correlation function in the linear regime, corrected for peculiar velocities.

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