# AST 570: Solar System Dynamics (Spring 2013)

Instructor: Alice Quillen, B+L424, 275-9625, aquillen at pas.rochester.edu

Lectures: TR 11:05-12:20, in B+L315.

Dynamics of bodies in the solar system and exo-solar systems
will be explored with an emphasis on applying results to the
interpretation of exo-planetary systems.
Topics covered will be
Two body problem. Orbital elements. f and g functions.
Universal variables for hyperbolic and eccentric orbits.
Hamiltonian formulation. Cannonical transformations. Symplectic integrators.
Hyperbolic orbits. Impulse approximation. Dynamical friction.
Gravitational stirring
3 body problem. Jacobi integral. Tisserand relation
Disturbing function. Low eccentricity expansions
Secular perturbations. Kozai resonance
Mean motion resonances. Resonant trapping
Dust dynamics. Yarkosky effect
Collision cascades. Debris disks. Planetesimal size distributions
Spiral density waves. Torque formula. Gap opening. Planet migration
Stability of N-body systems. Resonance overlap criterion.
``Nice'' model
Tidal evolution
Planet and planetesimal formation. Disk clearing
Chaotic dynamics. KAM and Neskhoroshev theorem's