  In this work we consider the changes of the SZ cluster brightness, flux and
number counts induced by the motion of the Solar System with respect to the
frame defined by the cosmic microwave background (CMB). These changes are
connected with the Doppler effect and aberration and exhibit a strong spectral
and spatial dependence. The correction to the SZ cluster brightness and flux
has an amplitude and spectral dependence, which is similar to the first order
cluster peculiar velocity correction to the thermal SZ effect. Due to the
change in the received cluster CMB flux the motion of the Solar System induces
a dipolar asymmetry in the observed number of clusters above a given flux
level. Similar effects were discussed for $\gamma$-ray bursts and radio
galaxies, but here, due to the very peculiar frequency-dependence of the
thermal SZ effect, the number of observed clusters in one direction of the sky
can be both, decreased or increased depending on the frequency band. A
detection of this asymmetry should be possible using future full sky CMB
experiments with mJy sensitivities.
