Timing/Location: Mon/Weds from 11:50 to 1:15 in E&MS D236
Course Goals: To provide a set of simple techniques to carry out quantitative modeling of problems frequently encountered in planetary sciences. The course will consist of a mixture of analytical and numerical descriptions and is for the most part designed to be platform-independent. More details are in the syllabus.
Texts: I like Numerical Recipes (Press et al.) for their descriptions of many numerical techniques (I use the Fortran version)
(Approximate) Course Outline
Week 1 (9 Jan): Heat conduction (diffusion). Notes.
- Problem Set (due Tues 17th Jan)
- The standard cookbook of analytical solutions is in Carslaw and Jaeger, Conduction of Heat in Solids, Oxford Science Publications, 1959.
Weeks 2-3 (18 Jan): Fourier transform. Notes.
- Problem Set (due Mon 30th Jan)
- Fortran code for fourier operations can be downloaded here (tar file).
- Gubbins, Time series analysis and inverse theory for geophysicists, Cambridge Univ. Press, 2004, is a good introduction.
Weeks 4-5 (30 Jan): Spherical harmonics. Notes. More notes.
- Problem Set (due Mon 13th Feb) and associated files: simple.dat, synthetic_europa_l3-360-2.dat, plmbar.f
- Blakely, Potential theory in gravity and magnetic applications, Cambridge Univ. Press, 1996, is good.
- SHTOOLS is a useful set of routines, located at https://shtools.oca.eu/shtools/
Weeks 6-7 (13 Feb): Markov Chain Monte Carlo. Notes.
- Problem Set (due Mon 20th Feb) and associated files: ellips_0.txt, ellips_1.txt, ellips_2.txt
- Kruschke, Doing Bayesian Data Analysis, Academic Press, 2015 is very useful.
- A very useful and well-documented implementation is emcee, located at http://dan.iel.fm/emcee/current/
- My commented emcee implementation for the lunar Love number
Week 8 (27 Feb): Tides and shape. Notes.
- Problem Set (due Mon 13th March)
- Two-layer elastic analytical solution by Harrison (1963): paper, fortran implementation
- Murray and Dermott, Solar System Dynamics, CUP, 1999, chapters 4 and 5.