Ohmic and viscous damping of inner core translational oscillations

Large earthquakes can trigger translational oscillations of Earth’s inner core (Slichter modes), yet their damping remains uncertain. Using simulations, we quantify viscous and Ohmic dissipation in the fluid outer core. Earth’s rotation splits the motion into one polar and two equatorial modes. We explore all three and derive scaling laws for the quality factor for each dissipation mechanism. Considering various dissipation regimes (diffusive, skin-layer, and Alfvén-wave radiation), we derive scaling laws that capture the damping of translational oscillations across planetary interiors. Viscous effects are negligible, confined to a thin layer at the inner core boundary. Ohmic dissipation dominates, with decay times of 4–16 years. Equatorial modes damp at least twice as fast as the polar mode. Our results suggest that Slichter modes can persist for years. Their continued non-detection is therefore more likely to reflect weak excitation or observational limitations than rapid damping.