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Advanced Analytical Dynamics: Course Outline (MAT 663)

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).

Course Contents

Kinematics of a rigid body, Dynamical System, General equations of dynamics and its various forms, Equations of Lagrange and Euler, Jacobi’s elliptic functions and the Qualitative and quantitative solutions of the problem of Euler and Poinsot. The problems of Lagrange and Poisson. Equations of Hamilton and Appell. Hamilton Jacobi theorem. Separable system Holder’s variation principle and its consequence.

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