Large‐Scale Power Spectrum from Peculiar Velocities

The power spectrum (PS) of mass density uctuations, in the range 0.05 h Mpc~1 k 0.2 h Mpc~1, is derived from the Mark III catalog of peculiar velocities of galaxies, independent of "" biasing. It is computed from the density eld as recovered by POTENT with Gaussian smoothing of 12 h~1 Mpc, within a sphere of radius D60 h~1 Mpc about the Local Group. The density is weighted inversely by the square of the errors. The PS is corrected for the e ects of smoothing, random errors, sparse sampling, and nite volume using mock catalogs that mimic in detail the Mark III catalog and the dynamics of our cosmological neighborhood. The mock catalogs are also used for error analysis.