Analytical dynamics is a branch of physics which seeks to describe the motion of objects using mathematical equations, in contrast to more qualitative approaches which rely on visual observations. Synonyms for analytical dynamics might include "mathematical mechanics," "mechanical engineering," "classical mechanics," or "kinematics." Each of these terms refers to a slightly different aspect of the study of motion and energy, but they all share a common goal of understanding and predicting how objects move through space/time. Analytical dynamics can be applied to a wide range of fields, including aerospace engineering, robotics, and computer animation. Whether you are studying vibrations in a mechanical system or designing a new spacecraft, analytical dynamics can help you develop a deeper understanding of how things move.