Journal
PHYSICAL REVIEW D
Volume 84, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.124011
Keywords
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Funding
- Sherman Fairchild Foundation
- NSF [PHY-0969111, PHY-1005426]
- NASA [NNX09AF96G]
- NSERC of Canada
- Canada Research Chairs Program
- Canadian Institute for Advanced Research
- NASA [118701, NNX09AF96G] Funding Source: Federal RePORTER
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We discuss a geometrical method to define a preferred reference frame for precessing binary systems and the gravitational waves they emit. This minimal-rotation frame is aligned with the angular-momentum axis and fixes the rotation about that axis up to a constant angle, resulting in an essentially invariant frame. Gravitational waveforms decomposed in this frame are similarly invariant under rotations of the inertial frame and exhibit relatively smoothly varying phase. By contrast, earlier prescriptions for radiation-aligned frames induce extraneous features in the gravitational-wave phase which depend on the orientation of the inertial frame, leading to fluctuations in the frequency that may compound to many gravitational-wave cycles. We explore a simplified description of post-Newtonian approximations for precessing systems using the minimal-rotation frame, and describe the construction of analytical/numerical hybrid waveforms for such systems.
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