Lectures and Recommended Reading:
- Lecture 1: Hyperbolic orbits, Impulse approximation, Dynamical friction
pdf
Binney and Tremaine, Chapter 7
Stewart and Ida 2000, Icarus, 143, 28
Murray and Dermott, Chapter 2
- Lecture 2: Kepler's equation, f and g functions, Disturbing function, Secular perturbations
pdf
Murray and Dermott, Chapters 2,6,7
Prussing and Conway, Chapter 2
- Lecture 3: Mean Motion resonances, Hamilton-Jacobi Equation, Cannonical transformations, Symplectic Integrators
pdf
Murray and Dermott, Chapter 8
Valtonen and Karttunen, Chapter 4
Morbidelli's book, Chapter 1
Yoshida, H. 1993,
Celestial Mechanics and Dynamical Astronomy, 56, 27,
Recent Progress in the Theory and Application of Symplectic Integrators
Duncan, Levison and Lee 1998, AJ, 116, 2067, A multiple timestep symplectic algorithm for integrating close encounters
Holman, M. J., and Murray, N. W. 1996, AJ, 112, 1278, Chaos in High-Order Mean Resonances in the Outer Asteroid Belt
Quillen, A.C. 2006, MNRAS, 365, 1367,
Reducing the probability of capture into resonance
- Lecture 4: Collisional Cascades, Debris Disks, Asteroid size distributions, Dust dynamics,
pdf
Dominik, C., and Decin, G., Age Dependence of the Vega Phenomenon: Theory, 2003, 598, 626
O'Brien, D.P. and Greenberg, R., The collisional and dynamical evolution of the main-belt and NEA size distributions, 2005, Icarus, 178, 179
Wyatt, M. 2008, Lecture Notes in Physics,
Dynamics of small bodies in planetary systems
Mukai, T. and Schwehm, G. 1981, A+A, 95, 373, Interactions of Grains
with the Solar Energetic Particles
Fraser, W. C. and Kavelaars, J. J. 2009, AJ, 137, 72,
The Size Distribution of Kuiper Belt Objects for D similar to 10km
Grigorieva, A. et al. 2007, A+A, 475, 755,
Survival of icy grains in debris discs. The role of photosputtering
Quillen et al. 2007, MNRAS, 380, 1642,
Planetary embryos and planetesimals residing in thin debris discs
- Lecture 5: Spiral Density Waves, Dispersion relation, Toomre Q parameter,
Torque Formula, Gap Opening, Planet Migration
pdf
Binney and Tremaine, Chapter 6
Goldreich, P. and Tremaine, S. 1979, ApJ, 233, 857, Excitation of Density waves ..
Artymowicz, P. 1993, ApJ, 419, 155,
On the Wave Exitation and Generalized Torque Formula for Lindblad
Resonances excited by an External Potential
Bryden, G. et al. 1999, ApJ, 514, 344, Tidally Induced Gap Formation ...
Takeuchi, T., Miyama, S. M. and Lin, D. N. C. 1996,
ApJ, 460, 832, Gap Formation in Protoplanetary Disks
- Lecture 6: Disk clearing and the ''Nice'' model, Planet migration in a planetesimal disk, Opik approximation
pdf
3 Nature papers that proposed the Nice model:
-- Tsiganis, K. Gomes, R., Morbidelli, A. and Levison, H. F.,
Origin of the orbital architecture of the giant planets of the Solar System,
2005, Nature, 435, 459
-- Morbidelli, A. Levison, H. F., Tsiganis, K. and Gomes, R., Chaotic capture of Jupiter's Trojan asteroids in the early Solar System, 2005, Nature, 435, 462
-- Gomes, R., Levison, H. F., Tsiganis, K. and Morbidelli, A., Origin of the cataclysmic Late Heavy Bombardment period of the terrestrial planets, 2005, Nature, 435, 466
also see: Levison, H. F. et al. 2008, Icarus, 196, 258, Origin of the structure of the Kuiper belt during a dynamical instability in the orbits of Uranus and Neptune
On the Opik approximation:
--Dones, L. et al. 1999, Icarus, 142, 509, Dynamical Lifetimes and Final Fates of Small Bodies: Orbit Integrations vs Opik Calculations
--Wetherill, G. W., Collisions in the asteroid belt, 1976, JGR, 72, 2429
- Lecture 7: Planetesimal formation, settling and sedimentation, areodynamics
of bodies in a circumstellar disk, turbulent excitation, coagulation and growth
pdf
-- Weidenschilling, S. J. 1977, Areodynamics of Solid bodies in the solar nebula, MNRAS, 180, 57
-- Dullemond, C.P. and Dominik, C. 2004, The effect of dust settling on the appearance of protoplanetary disks, A+A, 421, 1075
-- Tanaka, H. and Ward, W. R. 2004, Three-dimensional Interaction Between A Planet And An Isothermal Gaseous Disk. II. Eccentricity waves and bending waves, ApJ, 602, 388
-- Johnson, E. T., Goodman, J, and Menou, K. 2006, Diffusive Migration Of Low-mass Protoplanets In Turbulent Disks, ApJ, 647, 1413
-- Johansen, A., Oishi, J. S., Mac-Low, M. M., Klahr, H., Henning, T. and Youdin, A. 2007, Rapid Planetesimal formation in Turbulent circumstellar disks, Nature, 448, 1022
-- Cuzzi, J. N., Hogan, R. C., and Shariff, K. 2008, Toward Planetesimals: Dense Chondrule Clumps In The Protoplanetary Nebula, ApJ, 687, 143
-- Blum, J. and Wurm, G. 2008, ARA+A, 46, 21, The Growth Mechanisms of Macroscopic Bodies in Protoplanetary Disks
- Lecture 8: Tidal Evolution, Tidal and rotation deformation, tidal torques,
tidal circularization, orbital decay and spin down rates, Hot Jupiters
pdf
-- Murray and Dermott, Chapters 4,5
- Lecture 9: Chaotic Dynamics: Perturbation theory,
Quasi integrable Hamiltonians,
Small divisor problem,
KAM theorem, Melnikov's integral,
Numerical measurements of Lyapunov exponents,
Nekhoroshev Theorm,
Chirikov criterion for global chaos,
Chaos in the Solar system,
Control of chaos,
pdf
-- Morbidelli's book, Chapters 2-6
-- Chapter 24 of Michael Cross's book
Control.pdf
-- Lecar, M. et al., 2001, ARA+A, 39, 581 Chaos in the Solar System
- Lecture 10: Some Three Body problems, Kozai resonance,
2 planets in mean motion resonance,
pdf
--Valtonen and Karttunen Chap 9 on Kozai resonance
-- Recent papers by Michtchenko, Ferraz-Mello and collaborators