In my class we have so far only dealt with electrostatics, i.e. fields of stationary charge distributions. However one question arose while doing so: Given a set of stationary source charges we can calculate the electric field at each point in space. But will that give us enough information to calculate the trajectory of a particle with known charge q and mass m placed at an arbitrary point in space? Numerically it wouldn't be hard, but is it possible to do analytically for alle kinds of fields? We neglect magnetic forces even though I know they are present. I'm not really sure how you should do it.