Body tides on an elliptical rotating earth

The complete tidal response of an elliptical, rotating, elastic Earth is found to contain small displacements which do not fit into the conventional Love number framework. Corresponding observable tidal quantities (gravity, tilt, strain, Eulerian potential, etc.) are modified by the addition of small (<1%) latitude dependent terms. the relations between an expanded Love number set and these observables can be disturbingly complex. Consequently, it is often more useful to present results for. the observational quantities, directly. As an example, consider the tidal gravity signal as measured by a standard gravimeter. For a second degree semi-diurnal tide, it has the form