12.008 Classical Mechanics: A Computational Approach

Class Info

Classical mechanics in a computational framework, Lagrangian formulation, action, variational principles, and Hamilton's principle. Conserved quantities, Hamiltonian formulation, surfaces of section, chaos, and Liouville's theorem. Poincaré integral invariants, Poincaré-Birkhoff and KAM theorems. Invariant curves and cantori. Nonlinear resonances, resonance overlap and transition to chaos. Symplectic integration. Adiabatic invariants. Applications to simple physical systems and solar system dynamics. Extensive use of computation to capture methods, for simulation, and for symbolic analysis. Programming experience required. Students taking the graduate version complete additional assignments.

This class has 18.03 as a prerequisite.

12.008 will not be offered this semester. It will be available in the Fall semester, and will be instructed by .

This class counts for a total of 12 credits.

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