Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...282..353i&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 282, no. 2, p. 353-362
Astronomy and Astrophysics
Astrophysics
23
Angular Correlation, Big Bang Cosmology, Faint Objects, Galactic Clusters, Algorithms, Astronomical Catalogs, Red Shift, Stellar Luminosity, Telescopes
Scientific paper
As part of a larger study of the clustering properties of galaxies at intermediate redshifts, we present a study of methods and algorithms used to estimate the angular correlation function, omega(theta), of faint galaxies. A technique has been developed which permits the reliable measurement of omega(theta) at amplitude levels as low as approximately 0.002 for fields of area approxmiately 2 sq. deg - i.e. to separations of order 1 degree for galaxies with a blue magnitude approximately = +24. An iterative method has been used to compute the best mean density that ensures consistency between the intergal constraint and omega(theta). Artificial galaxy cataloges with built in correlation functions have been analyzed to test for the presence of spurious correlations associated with, for example, field geometry. We conclude that the amplitude and power-law exponent of omega(theta), as well as any outer cutoffs or breaks in omega(theta), are all reliably determined by our algorithm for separations theta less than or approximately 1 degree in cataloges whose angular extent is approximately 2 sq. deg.
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