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12.S501 Special Seminar in Earth, Atmospheric, and Planetary Sciences

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Prereq: None
Units: 2-0-1 [P/D/F]
Lecture: T12-2 (55-109)

Organized lecture or laboratory subject on an aspect of the earth sciences, planetary sciences, or astronomy not normally covered in regularly scheduled subjects. 12.592 is letter-graded.
G. Fournier
No textbook information available

12.620[J] Classical Mechanics: A Computational Approach

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(Same subject as 6.5160[J], 8.351[J])
Prereq: Physics I (GIR), 18.03, and permission of instructor
Units: 3-3-6
Lecture: MWF1 (54-824) Lab: W EVE (7-10 PM) (54-824)

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.
J. Wisdom, G. J. Sussman
Textbooks (Fall 2024)

Total units: 15

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TIME Mon Tue Wed Thu Fri KEY  12.S501  12.620 7 am 8 am 9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm 7 pm 8 pm 9 pm