In classical mechanics, analytical dynamics, or more briefly dynamics, is concerned about the relationship between motion of bodies and its causes, namely the forces acting on the bodies and the properties of the bodies (particularly mass and moment of inertia). The foundation of modern day dynamics is Newtonian mechanics and its reformulation as Lagrangian mechanics and Hamiltonian mechanics. The field has a long and important history, as remarked by Hamilton:
The theoretical development of the laws of motion of bodies is a problem of such interest and importance that it has engaged the attention of all the eminent mathematicians since the invention of the dynamics as a mathematical science by Galileo, and especially since the wonderful extension which was given to that science by Newton
— William Rowan Hamilton, 1834 (Transcribed in Classical Mechanics by J.R. Taylor, p. 237)
Some authors (for example, Taylor (2005) and Greenwood (1997)) include special relativity within classical dynamics.
Read more about Analytical Dynamics: Relationship To Statics, Kinetics, and Kinematics, Fundamental Principles, Related Engineering Branches
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