Surface tide on a rapidly rotating body

Abstract

By solving Laplace's tidal equations with friction terms we study the surface tide on a rapidly rotating body. When $\epsilon ={\Omega }^{2}R/g$, the square of the ratio of dynamical timescale to rotational timescale, is very small for the Earth the asymptotic result was derived. When it is not so small, e.g. a rapidly rotating star or planet, we perform numerical calculations. It is found that when rotation is sufficiently fast ($\epsilon$ reaches $0.1$) a great amount of tidal resonances appear. To generate the same level of tide, a faster rotation corresponds to a lower tidal frequency. Friction suppresses tidal resonances but cannot completely suppress them at fast rotation. The thickness of fluid layer can change tidal resonances but this change becomes weaker at faster rotation. This result is of help to understanding the tides in the atmosphere of a rapidly rotating star or planet or in the ocean of a neutron star.

References in corpus (19)

• Tidal dissipation in stars and giant planets
• Tidal dissipation in rotating giant planets
• Resonance locking as the source of rapid tidal migration in the Jupiter and Saturn moon systems
• Resonant Tidal Excitations of Rotating Neutron Stars in Coalescing Binaries
• Fast Tides in Slow Stars: the Efficiency of Eddy Viscosity
• Dynamical Tides in Rotating Planets and Stars
• Fundamental oscillation modes of neutron stars: validity of universal relations
• Origin of Tidal Dissipation in Jupiter: I. Properties of Inertial-Mode
• Tidal dissipation in rotating fluid bodies: a simplified model
• Nonlinear Damping of Oscillations in Tidal-Capture Binaries
• Dynamical Tides in Rotating Binary Stars
• Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
• Dynamical Tides in Compact White Dwarf Binaries: Tidal Synchronization and Dissipation
• Resonant Tidal Excitations of Inertial Modes in Coalescing Neutron Star Binaries
• Surface Modes on Bursting Neutron Stars and X-ray Burst Oscillations
• Tidal dissipation in rotating fluid bodies: the presence of a magnetic field
• Magnetic effect on dynamical tide in rapidly rotating astronomical objects
• Calculating rotating hydrodynamic and magneto-hydrodynamic waves to understand magnetic effects on dynamical tides
• Linear and nonlinear responses to harmonic force in rotating flow

Cited by in corpus (3)

• Planets Across Space and Time (PAST). VI. Age Dependence of the Occurrence and Architecture of Ultra-Short-Period Planet Systems
• On the evolution of global ocean tides
• Interaction Mechanism and Response of Tidal Effect on the Shallow Geology of Europa