A typical code example in the integrate tutorial http://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html is: ...

Particle flow animation with the trajectories of the particles being computed using the function odeint from scipy.integrate. Three-Body Problem Simulation - A Python-based simulation of the ...

The code is on GitHub and he also links to the generators available in SciPy. We’ve seen SciPy in some Hackaday contest entries before. You can think of it like Matlab for Python.