The distribution of faint satellites around central galaxies in the CFHT
  Legacy Survey
  We investigate the radial number density profile and the abundance
distribution of faint satellites around central galaxies in the low redshift
universe using the CFHT Legacy Survey. We consider three samples of central
galaxies with magnitudes of M_r=-21, -22, and -23 selected from the Sloan
Digital Sky Survey (SDSS) group catalog of Yang et al.. The satellite
distribution around these central galaxies is obtained by cross-correlating
these galaxies with the photometric catalogue of the CFHT Legacy Survey. The
projected radial number density of the satellites obeys a power law form with
the best-fit logarithmic slope of -1.05, independent of both the central galaxy
luminosity and the satellite luminosity. The projected cross correlation
function between central and satellite galaxies exhibits a non-monotonic trend
with satellite luminosity. It is most pronounced for central galaxies with
M_r=-21, where the decreasing trend of clustering amplitude with satellite
luminosity is reversed when satellites are fainter than central galaxies by
more than 2 magnitudes. A comparison with the satellite luminosity functions in
the Milky Way and M31 shows that the Milky Way/M31 system has about twice as
many satellites as around a typical central galaxy of similar luminosity. The
implications for theoretical models are briefly discussed.
