  The study of the morphology of 2D projected maps of galaxy clusters is a
suitable approach to infer, from real data, the dynamical state of those
systems. We recently developed a new method to recover the morphological
features in galaxy cluster maps which consists of an analytical modelling
through the Zernike polynomials. After the first validation of this approach on
a set of high-resolution mock maps of the Compton parameter, $y$, from
hydrodynamically simulated galaxy clusters in THE THREE HUNDRED project, we
apply the Zernike modelling on $y$-maps of local ($z < 0.1$) galaxy clusters
observed by the $Planck$ satellite. With a single parameter collecting the main
information of the Zernike modelling, we classify their morphology. A set of
mock $Planck$-like $y$-maps, generated from THE THREE HUNDRED clusters, is also
used to validate our indicator with a proper dynamical state classification.
This approach allows us to test the efficiency of the Zernike morphological
modelling in evaluating the dynamical population in the real $Planck$ sample.
