Post-circular expansion of eccentric binary inspirals: Fourier-domain waveforms in the stationary phase approximation
Post-circular expansion of eccentric binary inspirals: Fourier-domain waveforms in the stationary phase approximation
We lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waveforms produced by eccentric, inspiraling compact binaries in a post-circular or small-eccentricity approximation. The time-dependent, ``plus'' and ``cross'' polarizations are expanded in Bessel functions, which are then self-consistently reexpanded in a power series about zero initial eccentricity …