Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order

photo credit: magazines, sean winters

Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order

Erik Forseth, Charles R. Evans, Seth Hopper
Paper Phys. Rev. D 93, 064058 (2016) | 2016-24-03

Abstract

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 e^2 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.