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Course Criteria
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3.00 Credits
Introduction to chaotic behavior in conservative systems, with examples drawn primarily from the rotation and orbital dynamics of planets and satellites. Includes surfaces of section, Lyapunov exponents, perturbation theory, KAM theorem, resonances, onset of chaos, double pendulum, Henon-Heiles problem, restricted three-body problem, spin-orbit coupling, orbital resonances, adiabatic invariants, adiabatic chaos, tidal evolution, capture into resonance, and stability of the solar system.
Prerequisite:
Prereq: Permission of instructor
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0.00 Credits
Astronomical observations involving several techniques are carried out at a major observatory, with focus on a particular set of objectives that change from year to year. Work includes: critical planning of the observations; acquiring the data; calibrating the data; and on-site data reduction.
Prerequisite:
Prereq: Permission of instructor
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3.00 Credits
Basic principles underlying occultation, eclipse, and transit phenomena, by solar system bodies and extra-solar planets, as observed throughout the electromagnetic spectrum from spacecraft and Earth-based platforms. Methods for predicting the times and locations where these phenomena will be visible and the techniques used for their observation. Data interpretation through physical modeling of the interaction (including gravitational lensing) of electromagnetic radiation with planetary limbs, rings, and atmospheres.
Prerequisite:
Prereq: 8.03, 18.03 or 18.034
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3.00 Credits
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. Poincare integral invariants, Poincare-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.
Prerequisite:
Prereq: Physics I (GIR), 18.03, permission of instructor
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3.00 Credits
No course description available.
Prerequisite:
Prereq: 8.03, 18.03
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3.00 Credits
In-depth discussion of current and classic literature on selected topics in planetary science. Topics vary from year to year.
Prerequisite:
Prereq: Permission of instructor
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3.00 Credits
In-depth discussion of current and classic literature on selected topics in the specialty areas of asteroids and the Pluto-Charon system. Topics vary from year to year.
Prerequisite:
Prereq: Permission of instructor
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0.00 - 6.00 Credits
No course description available.
Prerequisite:
Prereq: Permission of instructor
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0.00 - 6.00 Credits
Problems of current interest in planetary science. Subject matter varies from term to term.
Prerequisite:
Prereq: Permission of instructor
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3.00 Credits
Climate history of the Earth from the formation of the early atmosphere and ocean to the present. Evaluation of geochemical, sedimentological, and paleontological evidence for changes in ocean circulation, global temperatures, and atmospheric carbon dioxide levels. Theories and models of Phanerozoic climate change. Long-term history of the global carbon cycle.
Prerequisite:
Prereq: Permission of instructor
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