MG14 - Talk detail

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Abstract

A precessing source frame, constructed using the Newtonian orbital angular momentum $\bf L_{\rm N}$, can be invoked to model inspiral gravitational waves from generic spinning compact binaries. An attractive feature of such a precessing convention is its ability to remove all spin precession induced modulations from the orbital phase evolution. However, this convention usually employs a post-Newtonian (PN) accurate precessional equation, appropriate for the PN accurate orbital angular momentum $\bf L$, to evolve the $\bf L_{\rm N}$-based precessing source frame. This influenced us to develop inspiral waveforms for spinning compact binaries in a precessing convention that explicitly employ $\bf L$ to describe the binary orbits. Our approach introduces certain additional 3PN order terms in the evolution equations for the orbital phase and frequency with respect to the usual $\bf L_{\rm N}$-based implementation of the precessing convention. We examine the practical implications of these additional terms by computing the match between inspiral waveforms that employ $\bf L$ and $\bf L_{\rm N}$-based precessing conventions. The match estimates are found to be smaller than the optimal value, namely $0.97 $, for a non-negligible fraction of unequal mass spinning compact binaries.

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