Secular gravitational-wave phasing to 3PN order for low-eccentricity inspiraling binaries

While gravitational waves cause binaries to circularize, several astrophysical scenarios suggest that some binaries will have non-negligible eccentricities when entering the LIGO frequency band. Time-domain waveforms for arbitrary eccentricity and to 3PN order are provided by the quasi-Keplerian formalism, but are computationally costly. Here we use a simplification of the quasi-Keplerian formalism to produce a fast, analytic waveform for the secular phasing of low-eccentricity binaries to 3PN order. We will discuss how this waveform is constructed, its domain of validity, and possible applications.