  From the asymptotic expansion of the ground state of the Gross-Pitaevskii
equation in the Thomas--Fermi limit given by Gallo and Pelinovsky in a previous
work, we infer an asymptotic expansion of the kinetic, potential and total
energy of the ground state. In particular, we give a rigorous proof of the
expansion of the kinetic energy calculated by Dalfovo, Pitaevskii and Stringari
in the case where the space dimension is 3. Moreover, we calculate one more
term in this expansion, and we generalize the result to space dimensions 1 and
2.
