In this presentation, I will share a series of recent findings developed through collaborations with L. Ruiz, G. Gevorgyan, G. Boué, A. Correia, and I. Matsuyama. Initially, I will introduce the concept of Love numbers within the frequency domain to frame our discussion on tidal interactions. Subsequently, I will outline the time-domain mathematical model we have refined over several years, demonstrating its capability to capture the tidal response of multilayered planetary bodies. Through our model, I will highlight a range of phenomena critical to understanding real-world tidal interactions, although not currently encompassed by our framework. Lastly, I will outline a possible methodology for calibrating our model's parameters utilizing observational data, underscoring a potential key advantage of our approach.
Alain Albouy, Alain Chenciner, Jacques Laskar
