Swinburne Astronomy Online

Project 63: Solar System Dynamics

This site is to help those of you who have chosen to do the Solar System Dynamics project for Swinburne Astronomy Online.

The general blurb for this project goes like this:

    In this project you will be using the Swinburne supercomputer to run a series of simulations via a web interface to investigate planetary dynamics. To do this project you will have to be comfortable with mathematics and computers - though you are not expected to write your own computer code, you will need to do some algebra. To achieve high marks in this project you will need to explore the equations that govern the dynamics of the Solar System and explain the difference between numerical and physical instabilities by try to produce unstable planetary systems!
The idea of the project is to use a pre-existing numerical code to investigate the dynamics of the Solar System. There is an input file which contains parameters that you can alter to run a series of numerical experiments. This will be done using a webpage interface (see below). The results from each numerical experiment will be displayed back to you, which you should keep a copy of or print.

You are not required to write or run any software yourself. The code will not be modified by you (though we can certainly discuss various aspects as the project progresses and I may be able to modify the program for you) and it is run on our machines here at Swinburne. You will, however, need to be logged on to the Internet while working on the numerical experiments.

There are three main aspects to the project:

  1. to understand the equations that govern the dynamics of the Solar System;
  2. to understand numerical instabilities resulting from a bad choice of the timestep parameter. This type of numerical instability is due to approximations in converting the mathematical equations that govern the system into discrete equations used in the numerical scheme; and
  3. to experiment with the parameters (such as planetary mass, eccentricity and semi-major axis) to try and make a physically unstable system - and explain why the resulting system is - or is not - stable.
This project should give you an understanding of how numerical astrophysicists approach and solve problems.

A good place to start would be with your textbook. Read up on the basic background material in the chapter Gravitation and the Motions of the Planets (Universe, Kaufmann and Freedman). You may also want to read the section on extrasolar planets and the essay on Aliens Planets. If you have The New Solar System (Beatty, Petersen & Chaikin), you could read the sections on the origin of the Solar System and other planetary systems. This will give you a general idea of how to attack this topic.

You could then do a detailed websearch on "solar system dynamics", "planetary dynamics", "planetary motions", "celestial mechanics", "gravitation" and variations on those themes.

Here are a couple of websites that might be a good place to start:

Don't forget to use me as a resource too. If you're stuck or just need a little guidance, feel free to email me and I'll be happy to help out.

Good luck!

Ok - enough talk - tell me more!

Last updated: Thursday, 30-Mar-2017 23:12:47 AEDT
email: smaddison-at-swin.edu.au
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