Bouncing Balls

1
Bouncing Balls
2
The Mission

• Create two balls with some initial velocity that
  will bounce around in a box and off each other.
  There are no external forces.
• Show qualitatively that this system is chaotic.

3
The Code

• Used bits from solar.py and bounce.py
• New force for the Euler integrator
• F F0exp(-(r/a)3)
• F0exp(-pow(diff.mag/a0,3.0))norm(diff)

4
Program in Action
5
Qualitative Observation

• To record information (In progress)
• Ncollisions0
• if force(a,b)gt1
• Ncollisions1
• while (t30.0)
• print Ncollisions
• while (t60.0)
• print Ncollisions
• while (t90.0)
• print Ncollisions