  We show how non-radial motions, originating in the outskirts of clusters of
galaxies, may reduce the discrepancy between the Cold Dark Matter (CDM)
predicted X-ray temperature distribution function of clusters of galaxies and
the observed one and also the discrepancy between the CDM predicted two-point
correlation function of clusters of galaxies and that observed. We compare Edge
et al. (1990) and Henry & Arnaud (1991) data with the distribution function of
X-ray temperature, calculated using Press- Schechter's (1974 - hereafter PS)
theory and Evrard's (1990) prescriptions for the mass-temperature relation and
taking account of the non-radial motions originating from the gravitational
interaction of the quadrupole moment of the protocluster with the tidal field
of the matter of the neighboring protostructures. We find that the model
produces a reasonable clusters temperature distribution. We compare the
two-point cluster correlation function which takes account of the non-radial
motions both with that obtained by Sutherland & Efstathiou (1991), from the
analysis of Huchra's et al. (1990) deep redshift survey, and with the data
points for the Automatic Plate Measuring (APM) clusters, computed by Efstathiou
et al. (1992a), showing that non-radial motions reduce the discrepancy between
the theoretical and the obsservational correlation function.
