The three-dimensional power spectrum measured from the APM Galaxy Survey - II. Use of the two-dimensional power spectrum

Abstract

We present the results of a Fourier transform analysis of galaxies from the APM Survey in the magnitude range 17≤b J ≤20. The two-dimensional power spectrum of galaxy clustering is found to obey a power law with K −1.33 , displaying a break at K∼30, where K is the physical wavenumber on the plane of the sky and has units of inverse radians. We compare this with the power spectrum of the Lick Survey using a scaling relationship. We then recover the three-dimensional power spectrum from the two-dimensional power spectrum and reproduce results that we have previously obtained using the angular correlation function. The APM power spectrum in three dimensions is a power law, P(k)∞k −1.25 , for wavenumbers k≥0.2 h Mpc −1