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class 1: overview, projects, introduction to the integrator.f and fewbody.f numerical codes (note that these "classes" are sometimes longer than one class period -- there are thus 20 handouts in total) |
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class 2: the two-body problem; inverse square law, scaling, equation of the orbit, conic sections, kepler's equation, orbital elements, negative heat capacity of self-gravitating systems, application to HD 80606. |
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class 3: more on the negative heat capacity of the keplerian orbit -- the magnetorotational instability, a brief introduction to numerical integration |
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class 4: the restricted three-body problem, spacecraft navigation and trajectory design. Instability in the 55 Cancri system, the Jacobi Constant |
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class 5: Lagrangian stability points, trojan and horseshoe orbits, self-consistent fitting to radial velocity data. |
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class 6: Linear stability analysis at the Lagrange points. |
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class 7: Planetary motion: secular variations, resonances, and the stability of planetary systems |
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class 8: The disturbing function, mean-motion resonances |
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class 9: Resonance, migration, tidal heating |
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class 10: The Laplace-Lagrange mode, the problem posed by HD 209458b |
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class 11: Orbits in static spherical and axisymmetric potentials |
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class 12: Orbital motion in axisymmetric potentials |
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class 13: Orbital motion in non-axisymmetric potentials |
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class 14: Orbits in rotating potentials |
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class 15: Introduction to the theory of spiral structure |
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class 16: WKB analysis, group velocity, and SWING amplification |
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class 17: Galactic collisions, dynamical friction |
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class 18: Stellar Dynamics I |
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class 19: Stellar Dynamics II |
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