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Fig. 5

image

Semidiurnal oceanic tide of the Earth (left column) and TRAPPIST-1 f (right column). The logarithms of the imaginary part of the tidal Love number (left) and tidal quality factor (right) are plotted as functions of the normalized forcing frequency (where Ω designates the today rotation rate of the Earth) for various orders of magnitude of the drag parameter . These frequency spectra are computed using the expressions given by Eqs. (70) and (71). In each case, the parameter norb is assumed to be constant and the rotation rate of the planet varies with the tidal frequency following the formula Ω = norb + σ∕2. The resonances associated with surface inertial-gravity modes are designated by black dashed lines in the top panels and numbers indicate the degree n of the corresponding Hough modes and the sign of eigenfrequencies given by Eq. (77). The values of parameters used for this evaluation are summarized in Table 1.

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