Abstract

The study of stellar oscillations allows us to infer the properties of stellar interiors. Meanwhile, fundamental parameters such as mass and radius can be obtained by studying stars in binary systems. The synergy between binarity and asteroseismology can constrain the parameter space of stellar properties and facilitate the asteroseismic inference. On the other hand, binarity also introduces additional complexities such tides and mass transfer. From an observational perspective, we briefly review the recent advances in the study of tidal effects on stellar oscillations, focusing on upper main sequence stars (F-, A-, or OB- type). The effect can be roughly divided into two categories. The first one concerns the tidally excited oscillations (TEOs) in eccentric binaries where TEOs are mostly due to resonances between dynamical tides and gravity modes of the star. TEOs appear as orbital-harmonic oscillations on top of the eccentric ellipsoidal light curve variations (the “heartbeat” feature). The second category is regarding the self-excited oscillations perturbed by static tides in circularized and synchronized close binaries. It includes the tidal deformation of the propagation cavity and its effect on eigenfrequencies, eigenfunctions, and the pulsation alignment. We list binary systems that show these two types of tidal effect and summarize the orbital and pulsation observables. We also discuss the theoretical approaches used to model these tidal oscillations and relevant complications such as non-linear mode coupling and resonance locking. Further information can be extracted from the observations of these oscillations which will improve our understanding of tides. We also discuss the effect of mass transfer, the extreme result of tides, on stellar oscillations. We bring to the readers' attention: (1) oscillating stars undergoing mass accretion (A-, F-, and OB type pulsators and white dwarfs), for which the pulsation properties may be changed significantly by accretion; (2) post-mass transfer pulsators, which have undergone a stable or unstable Roche-Lobe overflow. These pulsators have great potential in probing detailed physical processes in stellar interiors and mass transfer, as well as in studying the binary star populations.

Highlights

  • Stars tend to reside in binary or multiple systems, especially for those of early-type (Raghavan et al, 2010; Moe and Di Stefano, 2017)

  • Guo (2020) showed that the observed stable amplitudes/phases of the parent and daughter modes in KIC3230227 indicate the five-mode-coupling system has settled into an equilibrium state, and this agrees with the theoretical mode damping rates

  • When the evolution of a mode frequency is in pace with that of the forcing frequency, the oscillation mode can be locked into resonance with the orbit

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Summary

INTRODUCTION

Stars tend to reside in binary or multiple systems, especially for those of early-type (Raghavan et al, 2010; Moe and Di Stefano, 2017). The gmode pulsating γ Dor stars (spectral type A-F-) in close binaries with Porb ≤ 10 d show a convective-core-boundary rotation period that is similar to the orbital period, suggesting that the tidal synchronization has already reached the deep interior (Guo et al, 2019; Li et al, 2020a; Saio, 2020). Most of the observed TEOs are likely (linearly) excited by the dynamical tide (exact orbital-harmonic frequencies (Nforb, see section for nonlinear non-harmonic TEOs), with the stellar response dominated by the closest frequency g-mode. The tidal response to a forcing frequency (Nforb) is a summation of the mode eigenfunctions weighted by the mode amplitude AnlmN ∝ ǫlQnlXlm nlmN (Burkart et al., FIGURE 3 | The amplitude of TEOs in magnitude variation ( mag) or relative luminosity variation ( L/L) as a function of orbital harmonic (N) for four heartbeat binaries. These TEOs may be locked in resonance with the orbit and require a different modeling approach (see section 2.3)

Weakly Non-linear TEOs
Resonance Locking
CIRCULAR BINARIES WITH TIDALLY
Mass-Accreting Pulsators
Post-mass Transfer Pulsating Binaries
Findings
DISCUSSION AND FUTURE
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