Kozai–Lidov Oscillations Triggered by a Tilt Instability of Detached Circumplanetary Discs
Circumplanetary discs can be linearly unstable to the growth of disc tilt in the tidal potential of the star–planet system. We use3D hydrodynamical simulations to characterize the disc conditions needed for instability, together with its long-term evolution.Tilt growth occurs for disc aspect ratios, evaluated near the disc outer edge, ofH/r0.05, with a weak dependence on viscosityin the wave-like regime of warp propagation. Lower mass giant planets are more likely to have circumplanetary discs thatsatisfy the conditions for instability. We show that the tilt instability can excite the inclination to above the threshold where thecircumplanetary disc becomes unstable to Kozai–Lidov (KL) oscillations. Dissipation in the KL unstable regime caps furthertilt growth, but the disc experiences large oscillations in both inclination and eccentricity. Planetary accretion occurs in episodicaccretion events. We discuss implications of the joint tilt–KL instability for the detectability of circumplanetary discs, for theobliquity evolution of forming giant planets, and for the formation of satellite systems.