Develop a consistent treatment of moving-perturber resonances

Develop and validate a consistent waveform-modeling treatment of dynamically orbiting tidal perturbers that incorporates the additional harmonic index and perturber orbital phase, including the possibility of multiple resonance crossings for a fixed $(n,k,m,s)$.

Background

The main analysis assumes that the tidal perturber is stationary during a resonance. Relaxing this approximation introduces the perturber's azimuthal frequency and an additional harmonic index, potentially producing two resonances for one set of harmonic labels. The forcing becomes more complicated and requires tracking the perturber's phase; the paper states that this issue remains under investigation rather than resolving it.

References

This is currently being investigated in a setting for which the dynamics of the perturbing object can be treated parametrically .

— Not All Resonances Are Created Equal: Prioritizing Tidal Resonances in EMRIs  (2609.03732 - Bonga et al., 3 Sep 2026) in Section 5, Discussion