  We study the static linear response in spherical Thomas-Fermi systems
deriving a simple diferen- tial equation for general multipolar moments and
associated polarizabilities. We test the equation on sodium clusters between 20
and 100 atoms and on fullerenes between C60 and C240 and propose it for general
Thomas-Fermi systems. Our simple method provides results which deviates from
experimental data with less then 15%.
