Stellar dynamics is the branch of astrophysics that studies the motions and gravitational interactions of stars within a system, typically in galaxies or star clusters. It provides insights into how stars influence each other's trajectories through gravitational forces and how their collective motion affects the overall structure and evolution of the system. Understanding stellar dynamics is crucial for exploring phenomena like supermassive black hole formation, where gravitational interactions play a key role in the accumulation of mass and energy in dense stellar environments.