Tides in rotating barotropic fluid bodies: the contribution of inertial waves and the role of internal structure

摘要: We discuss the linear response to low-frequency tidal forcing of fluid bodies that are slowly and uniformly rotating, neutrally stratified may contain a solid or core. This problem be regarded as simplified model astrophysical tides in convective regions stars giant planets. The can separated into non-wavelike wavelike parts, where former is related instantaneously potential latter involve resonances other singularities. imaginary part Love number body, which directly rates energy angular momentum exchange interaction rate dissipation energy, have complicated dependence on frequency. However, certain frequency-average this quantity independent dissipative properties determined by means an impulse calculation. result strongly increasing function size core when sectoral harmonic, especially body not centrally condensed. same true for tesseral harmonics, receive richer therefore important determining evolution even though they usually subdominant expansion potential. also analytically rotating homogeneous potentials proportional spherical harmonics degrees less than five. Tesseral greater two, such present case spin-orbit misalignment, resonate with inertial modes full sphere, leading enhanced interaction.