Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits

Understand

We derive analytic expressions that provide Fourier domain gravitational wave (GW) response function for compact binaries inspiraling along moderately eccentric orbits.

• These expressions include amplitude corrections to the two GW polarization states that are accurate to the first post-Newtonian (PN) order.
• Additionally, our fully 3PN accurate GW phase evolution incorporates eccentricity effects up to sixth order at each PN order.
• Further, we develop a prescription to incorporate analytically the effects of 3PN accurate periastron advance in the GW phase evolution.