Periastron precession effect of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi></mml:math> -mode dynamical tides on gravitational waves from eccentric double white dwarfs

The dynamical tide can play an important role in the orbital motion of close eccentric double white dwarf binaries. As launching space-based gravitational-wave detector, Laser Interferometer Space Antenna (LISA), is just around corner, detection gravitational wave signals from such systems anticipated. In this paper, we discuss influence on orbits, focusing effect periastron precession. We show that, orbits with a high eccentricity, resonance cause large precession when harmonic frequency matches natural frequencies normal modes star. contrast to case circular each mode encounter multiple resonances different harmonics and these resonant regions cover about 10% space for separations. case, tidal distinct other contributions be identified LISA if signal-to-noise ratio enough. However, within highly eccentric-small separation region, causes chaotic signal becomes unpredictable. Even not at resonance, contribute up 20% Roche-lobe filling low eccentricities resolve off-resonant effects eccentricity-small region parameter space. For lower mass systems, degenerate uncertainties making it unmeasurable rate alone. higher radiation reaction significant enough constrain allowing measurement tide.