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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An analytic Chebyshev-expansion method computes gravitational-wave fluxes from arbitrary-eccentricity Schwarzschild geodesics by reducing them to sums of prior Keplerian Fourier coefficients, with numerical tests showing 10^{-5} total flux accuracy and sub-10^{-6} mode errors for selected cases.
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Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order
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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Analytical Fluxes from Generic Schwarzschild Geodesics
An analytic Chebyshev-expansion method computes gravitational-wave fluxes from arbitrary-eccentricity Schwarzschild geodesics by reducing them to sums of prior Keplerian Fourier coefficients, with numerical tests showing 10^{-5} total flux accuracy and sub-10^{-6} mode errors for selected cases.