  In this study, we look into binaries undergoing gravitational radiation
during a hyperbolic passage. Such hyperbolic events can be a credible source of
gravitational waves in future detectors. We systematically calculate fluxes of
gravitational radiation from such events in the presence of dark matter with
different profiles, also considering the effects of dynamical friction. We
provide an estimate for the braking index and show how it evolves due to the
presence of the dark matter medium. We also investigate the binary dynamics
through the changes in the orbital parameters by treating the potential due to
dark matter spike and the dynamical friction effects as a perturbation term. An
insight into the effects of such a medium on the binaries from the
corresponding osculating elements opens up avenues to study binary dynamics for
such events.
