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

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arxiv 1512.03051 v2 pith:4XPJOO44 submitted 2015-12-09 gr-qc

Erik Forseth , Charles R. Evans , Seth Hopper This is my paper
classification gr-qc
keywords orderanalyticenergyexpansionfunctionhighordersterms
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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 $e \to 1$.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order

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    Derives the 4PN conservative map between constants of motion and fundamental frequencies for eccentric orbits, resummed over eccentricity and validated against circular-orbit and self-force results.

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  3. Secular evolution of orbital parameters for general bound orbits in Kerr spacetime

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  4. Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries

    gr-qc 2025-09 conditional novelty 5.0 of 10

    Applies parameterized dispersion to eccentric BBH burst waveforms, deriving a 2.5PN time-delay correction and Bessel amplitude modulation, then uses Fisher matrix to project LIGO constraints that are stronger than cur...

  5. Determination of the Angular Momentum of Radiated Gravitons, Scalars, and Dark Photons from Binary Orbits

    gr-qc 2026-08 conditional novelty 4.0 of 10

    Each radiated graviton from a binary carries about 2ħ of angular momentum and each scalar or vector quantum about ħ, with the graviton result extended from elliptical to hyperbolic orbits.

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