In particle accelerator physics the problem is that we can not see what is going on inside the working machine. There are a lot of packages for modelling the behaviour of the particles in numerical or analytical way. But for most physicists it is better to see the picture in motion to say exactly what is happening and how to influence on this. The goal of this work is to provide scientists with such a problem-solving environment, which can not only do some numerical calculations, but show the dynamics of changes as a motion 3D picture. To do this we use the power of graphical processors from both sides: for general purpose calculations and for there direct appointment – drawing 3D motion. Besides, this environment should analyse the behaviour of the system to provide the user with all necessary information about the problem and how to deal with it.