Post-newtonian analysis of precessing convention for spinning compact binaries

Abstract

A precessing source frame, constructed using the Newtonian orbital angular momentum ${\mathbf{L}}_{\mathrm{N}}$, 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 $\mathbf{L}$, to evolve the ${\mathbf{L}}_{\mathrm{N}}$-based precessing source frame. This influenced us to develop inspiral waveforms for spinning compact binaries in a precessing convention that explicitly employ $\mathbf{L}$ 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 ${\mathbf{L}}_{\mathrm{N}}$-based implementation of the precessing convention. We examine the practical implications of these additional terms by computing the match between inspiral waveforms that employ $\mathbf{L}$ and ${\mathbf{L}}_{\mathrm{N}}$-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.

20 pages, 4 figures, matches published version

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Cited by in corpus (4)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Detection and characterization of spin-orbit resonances in the advanced gravitational wave detectors era
• Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
• Inspiral waveforms for spinning compact binaries in a new precessing convention