  The distribution of hot Jupiters, for which star-planet interactions can be
significant, questions the evolution of exosystems. We aim to follow the
orbital evolution of a planet along the rotational and structural evolution of
the host star by taking into account the coupled effects of tidal and magnetic
torques from ab initio prescriptions. It allows us to better understand the
evolution of star-planet systems and to explain some properties of the
distribution of observed close-in planets. To this end we use a numerical model
of a coplanar circular star-planet system taking into account stellar
structural changes, wind braking and star-planet interactions, called ESPEM
(Benbakoura et al. 2019). We find that depending on the initial configuration
of the system, magnetic effects can dominate tidal effects during the various
phases of the evolution, leading to an important migration of the planet and to
significant changes on the rotational evolution of the star. Both kinds of
interactions thus have to be taken into account to predict the evolution of
compact star-planet systems.
