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12.008 Classical Mechanics: A Computational Approach

Prereq: Physics I (GIR), 18.03, permission of instructor
Acad Year 2017-2018: Not offered
Acad Year 2018-2019: U (Fall)

12 Units

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.

J. Wisdom, G. J. Sussman

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Subject meets with 6.946[J], 8.351[J], 12.620[J]

Subjects

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...Studies and Planning Course 12 Earth, Atmospheric, and...for example: Prereq: 6.008 or 6.046...

Subjects

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...Studies and Planning Course 12 Earth, Atmospheric, and...for example: Prereq: 6.008 or 6.046...

Electrical Engineering and Computer Science (Course 6-2)

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...Program] 2 Laboratory Requirement (12 units) [satisfied by...as EECS. 3 6.008 can count as...