Numerical simulations of the interaction between the stellar magnetic field and a planet

Kepler and TESS observations led to the discovery of many close-in super Earths, including some with ultra-short orbital periods ($\lesssim 1$ day). During and shortly after their multi-Myr formation epoch, their GKM host stars generally have kilogauss magnetic fields which can exert torques on the orbits of nearby super-Earths. In this work, we examine one aspect of this interaction: the magnetic torque resulting from Alfv\'en-wing drag on non-corotating, non-magnetized planets engulfed by the host stars' stellar wind. We compute the magnitude of this torque for a range of stellar magnetic field strengths, and planetary orbital velocities. We also model the planets' orbital evolution, taking into account for stellar spin down and magnetic field decay, and derive the boundaries within which ultra-short-period super-Earths can survive.