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arXiv · 1707.02088

Solving post-Newtonian accurate Kepler Equation

Yannick Boetzel·Abhimanyu Susobhanan·Achamveedu Gopakumar·Antoine Klein·Philippe Jetzer
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Abstract

We provide an elegant way of solving analytically the third post-Newtonian (3PN) accurate Kepler equation, associated with the 3PN-accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits. An additional analytic solution is presented to check the correctness of our compact solution and we perform comparisons between our PN-accurate analytic solution and a very accurate numerical solution of the PN-accurate Kepler equation. We adapt our approach to compute crucial 3PN-accurate inputs that will be required to compute analytically both the time and frequency domain ready-to-use amplitude-corrected PN-accurate search templates for compact binaries in inspiralling eccentric orbits.

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Yannick Boetzel, Abhimanyu Susobhanan, Achamveedu Gopakumar, Antoine Klein, Philippe Jetzer. 2017-07-07. Solving post-Newtonian accurate Kepler Equation. https://doi.org/10.1103/physrevd.96.044011

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