Eccentric pairs: Analytic gravitational waves from binary black holes in elliptic orbits

Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of sources. Eccentricity shortens merger time, making emitted GW statistically predominant in observed data once detectors will reach required sensitivity. We present a novel implementation fully analytical templates binary black hole (BBH) mergers within Wolfram Mathematica software. increase accuracy by identifying minimizing possible source errors. start with an overview physics involved mergers, then assemble strain for inspiral employing up to six post-Newtonian (PN) corrections. complete quasi-circular Backwards one Body (BOB) model frequency, amplitude phase, we build hybrid whole binary. For low eccentricity, coincidence overlap, no ambiguity time interval, remarkable improvement usual matching techniques. high-eccentricity, compensate implicit assumption BOB approach, introducing small rescaling amplitude. Our streamlined is relevant new field astronomy straightforward understand, use extend, offering researchers valuable open resource tool.