ZLK oscillations in Sgr A* triples enhance dual-line GW source formation rates by a factor of 5-10.
Observing Eccentricity Oscillations of Binary Black Holes in LISA
6 Pith papers cite this work. Polarity classification is still indexing.
abstract
The tidal force from a third body near a binary system could introduce long-term oscillations in the binary's eccentricity, known as Kozai-Lidov oscillations. We show that the Kozai-Lidov oscillations of stellar-mass black hole binaries have the potential to be observed by LISA. Detections of such binaries will give insights into binary formation channels and also provide an important benchmark of observing Kozai-Lidov oscillations directly.
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A new framework projects perturbations onto resonant frequencies via Hansen coefficients to produce efficient coupled ODEs for orbital elements in GW-driven relativistic binaries, demonstrated on tidal fields and accretion disks.
Binaries around SMBHs exhibit four scattering regimes in unbound orbits and scattering-type eccentric vZLK oscillations in bound orbits, yielding a unified periapsis-driven tidal dynamics picture in galactic nuclei.
Simulations of dynamical channels predict ~36 eccentric stellar-mass BBHs detectable by LISA in the Milky Way at SNR>1 over 10 years, a local merger rate of ~9 Gpc^{-3} yr^{-1}, and hundreds of faint extragalactic mHz sources.
Eccentricity influences LISA binary counts via peak frequency, required density for LIGO rate match, and SNR reduction, enabling formation channel discrimination through frequency-dependent number counts without direct eccentricity measurement.
Hydrodynamic drag makes BBH waveforms resemble higher-mass vacuum sources, biasing matched-filter chirp-mass estimates upward for LISA sources.
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Dynamics of Relativistic Binaries in Structured and Stochastic Environments: A Lagrange-Fourier-Hansen Framework
A new framework projects perturbations onto resonant frequencies via Hansen coefficients to produce efficient coupled ODEs for orbital elements in GW-driven relativistic binaries, demonstrated on tidal fields and accretion disks.