M. Webster et al., WIENER RECONSTRUCTION OF THE IRAS 1.2-JY GALAXY REDSHIFT SURVEY - COSMOGRAPHICAL IMPLICATIONS, Monthly Notices of the Royal Astronomical Society, 287(2), 1997, pp. 425-444
We utilize the method of Wiener reconstruction with spherical harmonic
s and Bessel functions to recover the density and velocity fields from
the IRAS 1.2-Jy redshift survey. The reconstruction relies on prior k
nowledge of the IRAS power spectrum and the combination of density and
bias parameters beta = Omega(0.6)/b. The results are robust to change
s in these prior parameters and the number of expansion coefficients.
Maps of these fields are presented in a variety of projections. Many k
nown structures are observed, including clear confirmations of the clu
sters N1600 and A3627. The Perseus-Pisces supercluster appears to exte
nd out to similar to 9000 km s(-1), and the reconstruction shows 'back
side infall' to the Centaurus/Great Attractor region. A qualitative co
mparison of the reconstructed IRAS gravity field with that from Tully-
Fisher peculiar velocity measurements (Mark III) shows reasonable agre
ement. The Wiener reconstruction of the density field is also the opti
mal reconstruction (in the minimum-variance sense) of any quantity whi
ch is linear in the density contrast. We show reconstructions of three
such quantities. The misalignment angle between the IRAS and cosmic m
icrowave background Local Group dipoles is only 13 degrees out to 5000
km s(-1) but increases to 25 degrees out to 20 000 km s(-1). The reco
nstructed IRAS bulk flow out to 5000 km s(-1) is similar to 300 km s(-
1), which agrees in amplitude with that derived from the Mark III pecu
liar velocities (similar to 370 km s(-1)). However, the two bulk flow
vectors deviate by similar to 70 degrees. Finally, moment of inertia a
nalysis shows that the Wiener reconstructed Supergalactic Plane is ali
gned within similar to 30 degrees of that defined by de Vaucouleurs.