NEW ALGORITHMS FOR TESTING ACCURACY OF NUMERICALLY CALCULATED TRAJECTORIES OF CHARGED PARTICLES

摘要

The new method which enables to estimate the errors of numerically calculated trajectories caused by inaccuracies of the Field components is proposed. The method is based on the integration of additional differential equations together with trajectory differential equations. The conservation laws of total energy and angular momentum can be considered as a subset of this method, but the new method allows to estimate the trajectory or field defects even in cases where the traditional conservation laws would fail, for example for magnetic fields without rotational symmetry. [References: 11]