Speaker
Description
In this talk, I present an analytic method for computing gravitational-wave fluxes from bound Schwarzschild geodesics with arbitrary eccentricity. Our approach systematically expands the Fourier coefficients of the emitted radiation in a Chebyshev basis, allowing them to be reduced to sums of Keplerian-like Fourier coefficients previously derived in the Quantum Spectral Method. Because the construction does not rely on a small-eccentricity expansion, it applies to a broad range of bound eccentric orbits. As an illustration, we implement the method using a 15PN-expanded input and find that it reproduces the total flux for the validation case (p,e)=(12.5,0.5) to relative accuracy 10^{-5}, while for the stronger-field orbit (p,e)=(10,0.8) it yields weighted mode-by-mode errors below 10^{-6} for the selected dominant modes analyzed. These results provide an analytic route to frequency-domain flux calculations relevant to EMRI modelling.