The key role of the host star's rotational history on the evolution of the planetary system - The case of TOI-849 and Kepler-444

The interaction between the host star and planets has a significant role in shaping the evolution of the planetary system. The dissipation of tides and the consequent exchange of angular momentum between star and planets may significantly impact their orbits and modify the architecture of the system. The emission of high-energy stellar radiation is directly linked to the stellar rotation rate and its role in determining the efficiency of planetary atmospheric evaporation represents a key process suitable to explain some peculiar features observed in the population of detected exoplanets. In this context, the rotational history of the host star plays a key role. In our work, we aim at having an as detailed as possible characterisation of the host star of the system provided by thorough asteroseismic modelling (when available). Rotating models of the host star are then computed by accounting for a comprehensive treatment of angular momentum transport by hydrodynamic and magnetic instabilities. We explore a range of initial surface rotation rates representative of slow, medium and fast rotators, accounting for the degeneracy on the stellar rotational history. We finally study the interaction between star and planet, by coupling the host star model to our orbital evolution code, simultaneously following the impact of tides and atmospheric evaporation. We present recent results found in the context of the TOI-849 and Kepler-444 systems