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.
van de Meent, Conditions for Sustained Orbital Res- onances in Extreme Mass Ratio Inspirals, Phys
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For most studied EMRI orbits, omitting 3:2, 2:1, 4:3, or 3:1 resonance crossings causes significant SNR loss and Fisher biases exceeding 1σ, with coefficient signs and amplitudes controlling the effect.
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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.
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Parameter-estimation bias induced by transient orbital resonances in extreme-mass-ratio inspirals
For most studied EMRI orbits, omitting 3:2, 2:1, 4:3, or 3:1 resonance crossings causes significant SNR loss and Fisher biases exceeding 1σ, with coefficient signs and amplitudes controlling the effect.