Courses :: Module, CLASSICAL MECHANICS

	Overview
	Lagrange theory: Hamilton's Principle of least action, Euler-Lagrange equations, canonical momenta and conservation laws. Central forces. Two-body motion: bound states. Rigid Body Motion: Rotation transformations, Euler's theorem, inertia tensor, Euler's equation of motion, the heavy symmetrical top, small oscillations and stability. Hamiltonian theory: The canonical equations, Poisson brackets.

Overview

Lagrange theory: Hamilton's Principle of least action, Euler-Lagrange equations, canonical momenta and conservation laws. Central forces. Two-body motion: bound states. Rigid Body Motion: Rotation transformations, Euler's theorem, inertia tensor, Euler's equation of motion, the heavy symmetrical top, small oscillations and stability. Hamiltonian theory: The canonical equations, Poisson brackets.

	Learning Outcomes
	On successful completion of the module, students should be able to: formulate the basic principles of the Lagrange-Hamilton formalism use the Lagrange-Hamilton formalism to derive equations of motion of dynamical systems explain the relation between symmetries and conservation laws apply conservation laws to analyse the motion of dynamical systems describe the mathematical properties of rotations and systems with rotational symmetry

Learning Outcomes

	Repeat options
	Are Supplemental registrations permitted? Yes Written exam University scheduled written examination (Autumn): 120 minutes Is Supplemental Continuous Assessment registration permitted? No Is Supplemental Continuous Assessment capped? No

Repeat options

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CLASSICAL MECHANICS

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