Basic Principles of Classical Mechanics
For describing the motion of a mechanical system various mathematical models are used based on different “principles” - laws of motion. In this chapter we list the basic objects and principles of classical dynamics. The simplest and most important model of the motion of real bodies is Newtonian mechanics, which describes the motion of a free system of interacting points in threedimensional Euclidean space. In § 1.6 we discuss the suitability of applying Newtonian mechanics when dealing with complicated models of motion.
KeywordsPoisson Bracket Inertial Frame Symplectic Structure Classical Mechanics Lagrangian System
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