Propagation results. The differences in position is studied in different ways: norm (panel a), components (panel b), frequency content (panel c) and Keplerian elements (panel d). Vertical lines in the bottom left picture represent (multiples of) the mean motion (n) and latitudinal normal mode (ω_lat). Here, the coupled states have been subtracted from the uncoupled ones. Panel a: norm of position difference between the states propagated by the uncoupled model and those propagated by the coupled model. Panel b: time evolution of the RSW components of the position differences between the coupled and uncoupled trajectories. Panel c: frequency content of the RSW components of the position differences between the coupled and uncoupled trajectories. Panel d: differences in inclination between the coupled and uncoupled trajectories.