For a variety of fully relativistic polytropic neutron star models we calculate the star’s tidal Love number k2. Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n ≈ 0.5 − 1.0. The equilibrium stellar model is obtained by numerical integration of the Tolman-Oppenheimer-Volkhov equations. We calculate the linear l = 2 static perturbat...