[en] Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin–orbit term as well as two tensor terms contribute at second order to the energy per particle. The simultaneous calculation of the isotropic Fermi-liquid parameters provides a rigorous check through the validity of the Landau relations. It is found that published results for these second order contributions are incorrect in most cases. In particular, interference terms between s-wave and p-wave components of the interaction can contribute only to (isospin or spin) asymmetry energies. Even with nine adjustable parameters, one does not obtain a good description of the empirical nuclear matter saturation curve in the low density region $0<<!--\; <\; -->\mathrm{\rho <!--\; ??\; -->}<<!--\; <\; -->2{\mathrm{\rho <!--\; ??\; -->}}_0$. The reason for this feature is the too strong density-dependence ${\mathrm{\rho <!--\; ??\; -->}}^{8/3}$ of several second-order contributions. The inclusion of the density-dependent term $\frac{1}{6}{t}_3{\mathrm{\rho <!--\; ??\; -->}}^{1/6}$ is therefore indispensable for a realistic description of nuclear matter in the Skyrme framework. (paper)