Analytical high-order post-Newtonian expansions for extreme mass ratio binaries

@article{Kavanagh2015AnalyticalHP,
  title={Analytical high-order post-Newtonian expansions for extreme mass ratio binaries},
  author={Chris Kavanagh and A. Ottewill and Barry Wardell},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={084025}
}
We present analytic computations of gauge invariant quantities for a point mass in a circular orbit around a Schwarzschild black hole, giving results up to 15.5 post-Newtonian order in this paper and up to 21.5 post-Newtonian order in an online repository. Our calculation is based on the functional series method of Mano, Suzuki and Takasugi (MST) and a recent series of results by Bini and Damour. We develop an optimised method for generating post-Newtonian expansions of the MST series, enabling… 

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