We present a dynamical analysis of 673 galactic Planetary Nebulae, using a
two-integral axisymmetric model with a Kuzmin-Kutuzov St\"{a}ckel potential.
The method fits the kinematics to the projected moments of a distribution
function, by means of Quadratic Programming. The 2.2 μm COBE brightness map
has been used after correction for the interstellar extinction as a projected
star counts map in the modeling, because it constitutes a galactic distribution
view of evolved red populations which are considered to be the progenitors of
PNe. The model we have obtained provides a 2-integral distribution function for
the COBE 2.2 μm map, and thus {\it a fortiori} a deprojection of it, which
allows moreover the identification of all the major Galactic components. We
derive the density laws for them. The projected velocity dispersions are not
well fitted though, especially in the disk, which points at the likely presence
of a third integral. If this result can be confirmed by additional data, this
would mean that for the first time the presence and importance of a third
integral on a global scale is demonstrated.Comment: 9 pages, uuencoded gzipped postscript file, 9 figures include