Моделювання динаміки вільної частинки системою нерухомих прискорюючих зарядів

Abstract

In the article the mathematical model of linear acceleration by the system of immobile charges is developed. The accelerating system consists of consistently located attracting devices in the cases of the presence of attracting pairs and attracting fours. For a free particle the forces that operate in the directions perpendicular to the desired linear trajectory can develop an instability which will lead to a substantial change of the dynamic behavior. Terms at which the stability of a free particle is saved in such a system are expect ed. Terms are found at which such a system will be the accelerating system during successive neutralization of the nearest pair of charges approaching the mobile charge and thus the trajectory of motion of a charge will be stable. In addition the numerical modelling of the dynamics and the analysis are made in the program of MatLab .