  (Abridged Abstract) We calculate the expected amplitude of the dipole and
higher spherical harmonics in the angular distribution of radio galaxies. The
median redshift of radio sources in existing catalogues is z=1, which allows us
to study large scale structure on scales between those accessible to present
optical and infrared surveys, and that of the Cosmic Microwave Background
(CMB). The dipole is due to 2 effects which turn out to be of comparable
magnitude: (i) our motion with respect to the CMB, and (ii) large scale
structure, parameterised here by a family of Cold Dark Matter power-spectra. We
make specific predictions for the Green Bank (87GB) and Parkes-MIT-NRAO (PMN)
catalogues. For these relatively sparse catalogues both the motion and large
scale structure dipole effects are expected to be smaller than the Poisson
shot-noise. However, we detect dipole and higher harmonics in the combined
87GB-PMN catalogue which are far larger than expected. We attribute this to a 2
% flux mismatch between the two catalogues. We also investigate the existence
and extent of the Supergalactic Plane in the above catalogues. In a strip of +-
10 deg of the standard Supergalactic equator, we find a 3-sigma detection in
PMN, but only 1-sigma in 87GB.
