Simulating the wigglyness of a compass pin

[WilliamB96]

Hey guys :)
I'm working on a little bar magnet and compass simulation.
You can see my progress here: https://dl.dropboxusercontent.com/u/47501509/fysik/kompasser-och-magnet/index.html

As the title states I want to make the compasses wiggle a bit like a compass would do naturally.

What approach do you think I should take?

 

[Pythagorean]

Simulate it like a damped spring or pendulum with the equilibrium position being magnetic north.

 

[WilliamB96]

Looking into that, thanks!