Frequency-integral of the imaginary part of the Love numbers, weighted by 1∕ω and divided by ϵ², versus fractional core size for the quadrupolar component l = 2. The colour of the lines corresponds to different values of m: m = 0 (red), m = 1 (green), and m = 2 (blue). The dashed-dotted line shows the analytical result of the impulse calculation for a homogeneous fluid body with a solid core. The dashed line shows the same but in the case of the piecewise-homogeneous fluid model with a density ratio of 2 × 10⁻², adequatefor a solar mass star on the main sequence. The solid line corresponds again to the piecewise-homogeneous fluid model but with a density ratio of 4 × 10⁻³, appropriate for a 1.2 M_⊙ mass star on the main sequence.