Spatial Orientation of Spin Vectors of Blue-shifted Galaxies
  We present the analysis of the spin vector orientation of 5$\,$987 SDSS
galaxies having negative redshift from $-$87.6 to $-$0.3 km$\,$s$^{-1}$. Two
dimensional observed parameters are used to compute three dimensional galaxy
rotation axes by applying `position angle--inclination' method. We aim to
examine the non-random effects in the spatial orientation of blue-shifted
galaxies. We generate 5$\times$10$^6$ virtual galaxies to find expected
isotropic distributions by performing numerical simulations. We have written
MATLAB program to facilitate the simulation process and eliminate the manual
errors in the process. Chi-square, auto-correlation, and the Fourier tests are
used to examine non-random effects in the polar and azimuthal angle
distributions of the galaxy rotation axes. In general, blue-shifted galaxies
show no preferred alignments of galaxy rotation axes. Our results support
Hierarchy model, which suggests a random orientation of angular momentum
vectors of galaxies. However, local effects are noted suggesting gravitational
tidal interaction between neighboring galaxies.
