BN6  PostNewtonian and Analytic Approximations 
Speaker 
Gopakumar, Achamveedu 
Coauthors 
Gupta, Anuradha 
Talk Title 
PostNewtonian analysis of precessing convention for spinning compact binaries 
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 postNewtonian (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 nonnegligible fraction of unequal mass spinning compact binaries. 
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