Vertical displacement due to the quadrupolar semidiurnal tide (, norb being the dynamical frequency) obtained using the analytic solution established for the thin layer approximation (Eq. (58)). The displacement, normalized by the quadrupolar tidal potential, is plotted in the equatorial plane of the planet as a function of longitude (horizontal axis) and normalized altitude (vertical axis). The position φ = 0 corresponds to the sub-perturber point; the oceanic floor and surface are located at x = 0 and x = 1, respectively. For this computation, the rotation period of the planet Pspin = 2π∕Ω and orbital period of the perturber Porb = 2π∕norb are set to Pspin = 6.0 d and Porb = 365.25 d. The used values of parameters are R = R⊕, H = 100 km, g = 9.81 m s−2, N = 10−3 s−1, cs = 1545 m s−1 and σR= 10−5 s−1.