A semi-analytical model for eccentric Kozai-Lidov migration of Hot Jupiters

We present a semi-analytical model to describe the inward descent of Hot Jupiters from large distances induced by the eccentric Kozai-Lidov (EKL) effect. One proposed Hot Jupiter formation mechanism is eccentric migration driven by the presence of a companion that excites the Jupiter-like planet’s eccentricity on secular timescales. We model the envelope of the EKL eccentricity oscillations, allowing us to quickly describe the overall time evolution of the planet’s descent from large distances to a close-encounter distance (e.g., the Roche limit). We compare the model predictions to numerical solutions of the secular equations of motion and demonstrate that the model can be used to study rates of migration and tidal disruption in the Hot Jupiter population.