The tidal excitation of r modes in a solar type star orbited by a giant planet companion and the effect on orbital evolution I: The aligned case

Abstract

It has been suggested that tidal interaction is important for shaping the orbital configurations of close orbiting giant planets. The excitation of propagating waves and normal modes (dynamical tide) will be important for estimating time scales for orbital evolution. We consider the tidal interaction of a Jupiter mass planet orbiting a solar type primary. Tidal and rotational frequencies are assumed comparable making the effect of rotation important. Although centrifugal distortion is neglected, Coriolis forces are fully taken into account. We focus in detail on the potentially resonant excitation of $r$ modes associated with spherical harmonics of degrees three and five. These are mostly sited in the radiative core but with a significant response in the convective envelope where dissipation occurs. Away from resonance significant orbital evolution over the system lifetime is unlikely. However, tidal interaction is enhanced near resonances and the orbital evolution accelerated as they are passed through. This speed up may be sustained if near resonance can be maintained. For close orbits with primaries rotating sufficiently rapidly, this could arise from angular momentum loss and stellar spin down through a stellar wind bringing about significant orbital evolution over the system lifetime.

Accepted for publication in MNRAS

References in corpus (9)

• Tidal dissipation in stars and giant planets
• Transiting exoplanets from the CoRoT space mission V. CoRoT-Exo-4b: Stellar and planetary parameters
• Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity
• Orbital Decay of Short-Period Exoplanets via Tidal Resonance Locking
• On a new formulation for energy transfer between convection and fast tides with application to giant planets and solar type stars
• Tidal Circularization of Binaries by Resonance Locking I: The Importance of the Pre-Main-Sequence
• Dynamical tides in exoplanetary systems containing Hot Jupiters: confronting theory and observations
• Resonant tidal responses in rotating fluid bodies: global modes hidden beneath localized wave beams
• On the evolution of a binary system with arbitrarily misaligned orbital and stellar angular momenta due to quasi-stationary tides

Cited by in corpus (3)

• Dynamical tides in Jupiter and other rotationally flattened planets and stars with stable stratification
• Tidal synchronization trapping in stars and planets with convective envelopes
• The tidal interaction of an orbiting giant planet with a star near the Kraft break: the excitation of $r$-modes and the retention of orbital and spin angular momenta misalignment