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

Abstract

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 formulae are derived here which can be applied to redshift galaxy catalogs to measure {OMEGA} in the linear regime. The formulae also yield the real underlying correlation function in the linear regime, corrected for peculiar velocities.

Identifiers

DOI

10.1086/186264

Citations and references