Solving post-Newtonian accurate Kepler Equation
General Relativity and Quantum Cosmology
2017-08-14 v2
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.
Keywords
Cite
@article{arxiv.1707.02088,
title = {Solving post-Newtonian accurate Kepler Equation},
author = {Yannick Boetzel and Abhimanyu Susobhanan and Achamveedu Gopakumar and Antoine Klein and Philippe Jetzer},
journal= {arXiv preprint arXiv:1707.02088},
year = {2017}
}
Comments
20 pages, 4 figures