Modeling Binary Compact Object Merger Events Detected by the LIGO and Virgo Gravitational Wave Observatories

In this investigation, we model multiple neutron star and black hole merger events detected in the LIGO-Virgo Collaboration. We use Kepler’s Laws and Newtonian mechanics to model an infalling system of two objects with equal masses. We predict the expected increase in frequency or “chirp” of the infalling binary and compare that to what is found in the LIGO-Virgo database. In the initial period during which the Newtonian approximation is valid, we find reasonable agreement between our model and the results from the LIGO-Virgo Collaboration, thus verifying the basic physics of the infall. We also estimate the amount of gravitational wave energy emitted during the entire process. This provides a better understanding of the nature of these merger events and why gravitational waves are emitted by these merging compact objects.