
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) 

class 2: the twobody problem; inverse square law, scaling, equation of the orbit, conic sections, kepler's equation, orbital elements, negative heat capacity of selfgravitating systems, application to HD 80606. 

class 3: more on the negative heat capacity of the keplerian orbit  the magnetorotational instability, a brief introduction to numerical integration 

class 4: the restricted threebody problem, spacecraft navigation and trajectory design. Instability in the 55 Cancri system, the Jacobi Constant 

class 5: Lagrangian stability points, trojan and horseshoe orbits, selfconsistent fitting to radial velocity data. 

class 6: Linear stability analysis at the Lagrange points. 

class 7: Planetary motion: secular variations, resonances, and the stability of planetary systems 

class 8: The disturbing function, meanmotion resonances 

class 9: Resonance, migration, tidal heating 

class 10: The LaplaceLagrange mode, the problem posed by HD 209458b 

class 11: Orbits in static spherical and axisymmetric potentials 

class 12: Orbital motion in axisymmetric potentials 

class 13: Orbital motion in nonaxisymmetric potentials 

class 14: Orbits in rotating potentials 

class 15: Introduction to the theory of spiral structure 

class 16: WKB analysis, group velocity, and SWING amplification 

class 17: Galactic collisions, dynamical friction 

class 18: Stellar Dynamics I 

class 19: Stellar Dynamics II 

















