Stellar dynamics is the research area within astrophysics that investigates the gravitational interactions, phase-space evolution, and collective behavior of stellar systems such as star clusters, galactic disks, and spheroidal components. It employs N-body simulations, kinetic theory (e.g., the Boltzmann and Vlasov equations), and perturbation methods to study relaxation processes, resonances, instabilities, and secular evolution driven by both collisional and collisionless effects. Stellar dynamics underpins quantitative models of mass distributions, dark matter inference from stellar kinematics, formation and survival of bound structures, and the dynamical impact of central massive black holes and external tidal fields on stellar systems.
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