Damping Obliquities of Hot Jupiter Hosts by Resonance Locking

Abstract

When orbiting hotter stars, hot Jupiters are often highly inclined relative to their host star equator planes. By contrast, hot Jupiters orbiting cooler stars are more aligned. Prior attempts to explain this correlation between stellar obliquity and effective temperature have proven problematic. We show how resonance locking -- the coupling of the planet's orbit to a stellar gravity mode (g mode) -- can solve this mystery. Cooler stars with their radiative cores are more likely to be found with g-mode frequencies increased substantially by core hydrogen burning. Strong frequency evolution in resonance lock drives strong tidal evolution; locking to an axisymmetric g mode damps semi-major axes, eccentricities, and as we show for the first time, obliquities. Around cooler stars, hot Jupiters evolve into spin-orbit alignment and may avoid engulfment. Hotter stars lack radiative cores, and therefore preserve congenital spin-orbit misalignments. We focus on resonance locks with axisymmetric modes, supplementing our technical results with simple physical interpretations, and show that non-axisymmetric modes also damp obliquity. Outstanding issues regarding the dissipation of tidally-excited modes and the disabling of resonance locks are discussed quantitatively.