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arXiv · 1807.02380

Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits

Gihyuk Cho·Achamveedu Gopakumar·Maria Haney·Hyung Mok Lee
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Abstract

We derive from first principles third post-Newtonian (3PN) accurate Keplerian-type parametric solution to describe PN-accurate dynamics of non-spinning compact binaries in hyperbolic orbits. Orbital elements and functions of the parametric solution are obtained in terms of the conserved orbital energy and angular momentum in both Arnowitt-Deser-Misner type and modified harmonic coordinates. Elegant checks are provided that include a modified analytic continuation prescription to obtain our independent hyperbolic parametric solution from its eccentric version. A prescription to model gravitational wave polarization states for hyperbolic compact binaries experiencing 3.5PN-accurate orbital motion is presented that employs our 3PN-accurate parametric solution.

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Gihyuk Cho, Achamveedu Gopakumar, Maria Haney, Hyung Mok Lee. 2018-07-06. Gravitational waves from compact binaries in post-Newtonian accurate hyperbolic orbits. https://doi.org/10.1103/physrevd.98.024039

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