For some background information about what 'math modeling' and computational work have to do with, check out a post with resources to get a better understanding of some of this work.
Just click on a topic of interest, and it will take you to a separate post about that specific topic. You will find background information, relevant links to articles, vocabulary, data accessibility methods, videos, and so on. Hopefully you will find enough information to actually be able to get started and do the project!
Computational/Theoretical Topics and Research Questions:
- For computational work, the AMUSE package can be downloaded for free on a Mac or Linux machine. AMUSE is a depository of Python code that can be used to do all sorts of calculations for stellar dynamics, hydrodynamics, stellar evolution, radiative transfer, and so on. Very useful stuff that the pros use. For work with Python, one software platform you may consider downloading Canopy (there is a free education version), as well as Anaconda.
- For tutorials showing how to use Rebound for N-body simulations in astrophysics, check out both text and video tutorials at tinyurl.com/learnRebound. This can be used to look at solar systems, multi-star systems (binary, trinary, etc.), star clusters, galaxies, and so on.