The rapidly growing list of compact binary coalescences (CBCs) detected with gravitational waves (GWs) opens up the exciting prospect of probing their provenance. We probe the proper motion of the CBCs with GWs, which could be affected due to interaction with a third body. The accelerated motion of the center of mass of the CBC, along the line of sight, would modulate the GW waveform with respect to the corresponding non-accelerated CBC, due to a time-varying Doppler shift. Such modulations could be indicative of the CBC’s formation channel. We investigate the prospects of detecting this acceleration (a/c) in future observing runs of the LIGO-Virgo-Kagra (LVK) network, as well as in 3G detectors and the proposed DECIGO. We also place the first data-driven constraints on this acceleration, for putative binary neutron star mergers GW170817 and GW190425. We further interpret these constraints in the context of mergers around the galactic center.
Zoom link: https://icts-res-in.zoom.us/j/82475997189?pwd=QTFIYlp4T0FxMGlCUERrWGVjWFFMUT09
Meeting ID: 824 7599 7189