We present new results through 7PN order on the energy flux from eccentric extreme-mass-ratio binaries. The black hole perturbation calculations are made at very high accuracy (200 decimal places) using a Mathematica code based on the Mano-Suzuki-Takasugi (MST) analytic function expansion formalism. All published coefficients in the expansion through 3PN order are confirmed and new analytic and numeric terms are found to high order in e2 at orders between 3.5PN and 7PN. We also show original work in finding (nearly) arbitrarily accurate expansions for hereditary terms at 1.5PN, 2.5PN, and 3PN orders. We fit to a model where at each PN order an eccentricity singular function is factored out, improving substantially the fit even as e→1.
@article{arxiv.1512.03051,
title = {Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order},
author = {Erik Forseth and Charles R. Evans and Seth Hopper},
journal= {arXiv preprint arXiv:1512.03051},
year = {2016}
}