# Ideas for project

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1. Jan 24, 2016

I will be writing a paper by modelling a system and its differential equations. I have just started brainstorming ideas but I would also like to hear other peoples' ideas as well!

I have these ideas so far, can anybody suggest relevant articles or papers on these topics (avoid wikipedia if possible):

-Orbital mechanics/dynamics
-Kepler's laws of planetary motion
-General and/or special relativity
-Pendulum motion
-Wave motion

I look forward to reading your ideas and suggestions!

2. Jan 24, 2016

### Dr. Courtney

It helps to have a better idea of the specific goals, boundaries, and tools.

The double pendulum can be interesting, as can a number of other dynamical systems in 2 dimensions, but you need to be able to numerically integrate the diff eqs quickly with lots of different initial conditions.

Wikipedia can be a good place to find ideas and the related more reliable sources.

3. Jan 24, 2016

### zinq

If you are newish to differential equations, the planar differential equation of the position and velocity of the damped (simple) pendulum is extremely enlightening.

4. Jan 25, 2016

### jackmell

The non-linear pendulum. Know it? In the linear case, you can only (initially) perturb the pendulum a small amount before the solution looses accuracy. However, in the non-linear case, you can smack the pendulum so hard so that it goes round and round and the solution will still accurately describe it's motion. Pretty sure. You can investigate this assertion and determine if it is true.

5. Jan 26, 2016