With the improvement in the precision of gravitational wave detectors, there is an increasing demand for accuracy in gravitational wave waveform templates and parameter ranges. However, current gravitational wave templates still lack comprehensive studies on the most general orbits.
Based on the methodology proposed in Phys. Rev. D 104, 024046, we calculated the 2PN orbital radiation-reaction forces and the instantaneous part of the decomposed waveform for a general spinning precessing binary black hole system in effective-one-body (EOB) coordinates.
To study general orbits, we applied these results to the SEOBNRv4PHM model and compared them with 63 numerical relativity (NR) waveforms exhibiting significant spin precession effects.
We analyzed the impact of the non-perpendicular spin contributions on waveform accuracy.
We found that the non-perpendicular spin contributions primarily affect the phase of the gravitational waveforms.
For ground-based detectors, this contribution is not significant, but for lower-frequency detectors, as detection time accumulates, the contribution of this non-perpendicular spin part becomes increasingly non-negligible.
Then, we compared the new model with a NR waveform featuring significant spin precession and a relatively large initial eccentricity. We found that the new model approximately matches the NR waveform.
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