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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.