Calculating particle trajectories in an open trap with an absorbing small ball (Q1878732)

The paper considers the numerical modeling of the motion of charged particles in a trap of open type whose dynamics is described by the equation \[ \frac{dv}{d\tau}=\eta(v\times B), \] where \(v\) is the velocity of a particle, \(B\) is the exterior magnetic field, \(\eta=e\gamma^{-1}/mc^2\), \(\gamma-(1-v^2)^{-1/2}\), \(e\) is the charge of the particle, and \(m\) is its mass. To compute the trajectories, the author uses the Euler method with recomputation being a two-step method. The qualitative interpretation of the obtained numerical results is given.