  The PLANCK-mission is the most sensitive all-sky submillimetric mission
currently being planned and prepared. Special emphasis is given to the
observation of clusters of galaxies by their thermal Sunyaev-Zel'dovich (SZ)
effect. In this work, the results of a simulation are presented that combines
all-sky maps of the thermal and kinetic SZ-effect with cosmic microwave
background (CMB) fluctuations, Galactic foregrounds (synchrotron emission,
thermal emission from dust, free-free emission and rotational transitions of
carbon monoxide molecules) and sub-millimetric emission from planets and
asteroids of the Solar System. Observational issues, such as PLANCKs beam
shapes, frequency response and spatially non-uniform instrumental noise have
been incorporated. Matched and scale-adaptive multi-frequency filtering schemes
have been extended to spherical coordinates and are now applied to the data
sets in order to isolate and amplify the weak thermal SZ-signal. The properties
of the resulting SZ-cluster sample are characterised in detail: Apart from the
number of clusters as a function of cluster parameters such as redshift z and
total mass M, the distribution n(sigma)d sigma of the detection significance
sigma, the number of detectable clusters in relation to the model cluster
parameters entering the filter construction, the position accuracy of an
SZ-detection and the cluster number density as a function of ecliptic latitude
beta is examined.
