Merger Dynamics of N+N Co-planar Particles in Newton Gravitation

We model the inspiral and merger dynamics of two co-planar rings in Newtonian mechanics with GR motivated corrections and illustrate their similarity with those of black hole (BH) binary systems on the orbital plane. Our simulation reveals a banana-shape deformation of the ‘BHs’ involved, and a typhoon-like spiral structure in the merger product. Using an eXact One-Body approach, we compute the full gravitational waveform of this process and qualitatively reproduce results consistent with those of numerical relativity (NR). Our simulation offers a transparent link between the feature of gravitational waveforms and the internal structure of BHs, thus a complementary interpretation of physics behind NR.