Constraining The Large Scale Power Spectrum with Peculiar Velocities

Details Constraining The Large Scale Power Spectrum with Peculiar Velocities Constraining The Large Scale Power Spectrum with Peculiar Velocities

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aps..apr..d351f&link_type=abstract

American Physical Society, APS/AAPT Joint April Meeting, April 18-21, 1998 Columbus, Ohio, abstract #D3.51

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Scientific paper

We propose a new strategy to probe the power spectrum on large scales using galaxy peculiar velocities. We explore the properties of surveys that cover only two small fields in opposing directions on the sky. Surveys of this type have several advantages over those that attempt to cover the entire sky; in particular, by concentrating galaxies in narrow cones these surveys are able to achieve the density needed to measure several moments of the velocity field with only a modest number of objects, even for surveys designed to probe scales > 100h-1 Mpc. We calculate window functions for these moments and construct a \chi^2 statistic which can be used to put constraints on the power spectrum. In addition, we have studied how well surveys of this type can distinguish between different power spectra and found that cone surveys are as good or better than full-sky surveys in distinguishing between popular cosmological models. We find that a survey with 200-300 galaxy peculiar velocities with distance errors of 15% in two cones with opening angle of ~ 10^circ could put significant constraints on the power spectrum on scales of 100-300 h-1 Mpc, where few other constraints exist.

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