A Caltech Library Service

Heartbeat stars, tidally excited oscillations and resonance locking

Fuller, Jim (2017) Heartbeat stars, tidally excited oscillations and resonance locking. Monthly Notices of the Royal Astronomical Society, 472 (2). pp. 1538-1564. ISSN 0035-8711.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Heartbeat stars are eccentric binary stars in short-period orbits whose light curves are shaped by tidal distortion, reflection and Doppler beaming. Some heartbeat stars exhibit tidally excited oscillations and present new opportunities for understanding the physics of tidal dissipation within stars. We present detailed methods to compute the forced amplitudes, frequencies and phases of tidally excited oscillations in eccentric binary systems. Our methods (i) factor out the equilibrium tide for easier comparison with observations, (ii) account for rotation using the traditional approximation, (iii) incorporate non-adiabatic effects to reliably compute surface luminosity perturbations, (iv) allow for spin–orbit misalignment and (v) correctly sum over contributions from many oscillation modes. We also discuss why tidally excited oscillations (TEOs) are more visible in hot stars with surface temperatures T ≳ 6500 K, and we derive some basic probability theory that can be used to compare models with data in a statistical manner. Application of this theory to heartbeat systems can be used to determine whether observed TEOs can be explained by chance resonances with stellar oscillation modes, or whether a resonance locking process is operating.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Fuller, Jim0000-0002-4544-0750
Additional Information:© 2017 The Author Published by Oxford University Press on behalf of the Royal Astronomical Society. Accepted 2017 August 14. Received 2017 August 14; in original form 2017 June 14. Published: 18 August 2017. I am grateful to Susan Thompson for providing the data in Fig. 1, and to the anonymous referee for a thoughtful report. I thank Rich Townsend and Zhao Guo for helpful discussions. This research was supported in part by a Lee DuBridge Fellowship at Caltech, the National Science Foundation under grants AST-1205732 and PHY-1125915 and the Gordon and Betty Moore Foundation through grant GBMF5076.
Group:TAPIR, Astronomy Department
Funding AgencyGrant Number
Lee DuBridge FellowshipUNSPECIFIED
Gordon and Betty Moore FoundationGBMF5076
Subject Keywords:binaries: close – stars: evolution – stars: kinematics and dynamics – stars: oscillations – stars: rotation
Issue or Number:2
Record Number:CaltechAUTHORS:20171102-151434637
Persistent URL:
Official Citation:Jim Fuller; Heartbeat stars, tidally excited oscillations and resonance locking, Monthly Notices of the Royal Astronomical Society, Volume 472, Issue 2, 1 December 2017, Pages 1538–1564,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82914
Deposited By: Tony Diaz
Deposited On:03 Nov 2017 02:15
Last Modified:03 Oct 2019 19:00

Repository Staff Only: item control page