LIGO Document T2400266-v1
- Large banks of waveform templates are needed for both modeled gravitational wave searches, and for use in parameter estimation of signals. Having waveform templates that include both the effects of eccentricity and precession is important for increasing the physics output with parameter estimation. Furthermore, the same gravitational wave events can show evidence of eccentricity when analyzed with an eccentric model and show precession when analyzed with a precessing model since the effects on the waveform can mimic each other. Thus, models that include both effects are needed to discern which effects are present. In the present work, we attempt to generate waveform templates for the inspiral phase of compact binary coalescence that include both the effects of eccentricity and spin-induced precession. We investigate the features and limitations of current waveform models that have either eccentricity or precession exclusively. Orbit averaged spin and orbital evolution equations are used to calculate the time evolution of orbital quantities for a binary system with a set of initial conditions, which is then used to calculate the h_+ and h_× gravitational polarization modes.
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