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.
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Next-generation IFU instruments could detect core scouring and tangential anisotropy from MBH binaries up to z~0.14 for ~150 pc cores and higher redshifts for larger cores, expanding searchable volume by 30-40 times including lower-mass systems.
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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.