Escape of charged particles moving around a weakly magnetized Kerr black hole

We study the dynamics and escape of charged particles initially orbiting a weakly magnetized Kerr black hole after they get kicked in the direction normal to the orbit. The case of neutral particles is analyzed first and the escape conditions are given analytically. A general analysis of charged particles innermost stable circular orbits is performed numerically. We then study the charged particles three-dimensional motion and give an effective condition for their escape. We also discuss how the black hole's rotation affects the escape of charged particles and the chaoticness in their dynamics.