A gap in phase-space, the loss cone (LC), is opened up by a supermassive black hole (MBH) as it disrupts or accretes stars in a galactic centre. If a star enters the LC then, depending on its properties, its interaction with the MBH will either generate a luminous electromagnetic flare or give rise to gravitational radiation, both of which are expected to have directly observable consequences. The thesis begins with a brief review of dynamical modelling collisionless galaxies. Then the general scheme is developed to construct high-resolution N-body models. Next, a suit of optimized model and code, both having high-resolution at the centre, are used follow the evolution of flyby encounters for a broad range of satellite parameters. The penultimate chapter describes how the findings are used to predict a MBH fuelling rate driven by orbiting substructures within the dark matter halo. Finally, I summarize the findings and provide some future work.
