One hour per lecture, twice a week, continuing for 4 weeks.
tentative time slots: Jan 12-Feb 6th, T.
noon-1; Th. 3-4, Rm 1318A
I will start by posing a central problem -- a real extra-solar
planetary system which contains a few unsolved puzzles. I then lecture
on the following aspects of planetary dynamics: 1) general orbital
discriptions; 2) disturbing function; 3) mean-motion resonances; 4)
resonance overlap & chaos; 5) secular interactions; 6) simple
disk-planet interactions. Based on these lectures, the students will
perform calculations to understand the cause of some of the behaviour
of this planetary system. The goal of the course is to enable
students to undertake publishable research in the field.
Lecture 1: intro & outline
Lecture 2: orbital elements, perturbed orbits, precession
Lecture 3: Hamiltonian, numerical methods (symplectic)
Lecture 4: disturbing function
Lecture 5: secular interaction
Lecture 6: mean-motion resonance
Lecture 7: resonance width, chaos. stability
Lecture 8: group discussion
References (more to come)
Murray & Dermott Solary
System Dynamics, 1999, Cambridge
Holman
& Wiegert, ApJ, 1999, 117, 621
Tremaine,
Frontiers of Astrophysics, Rossland Centenary
symposium,1994,
Saha
& Tremaine, AJ, 1992, 104, 1633
Beust,
A&A, 2003, 400, 1129
Chambers,
Quintana, Duncan & Lissauer, 2002, AJ, 123, 2884
Wisdom
& Holman, 1991, AJ, 102, 1528
Konacki
& Wolszczan 2003, ApJ, 591, 147 (and theoretical papers cited)
Location of the SWIFT
code and the HJS
package