A simple stability condition has been used in multipactor (MP) studies in many published works. A general stability condition has been employed in a few works. In these works, the analytical stability of the motion infinitesimally near resonance phases was derived. The MP phenomenon for two parallel plates is studied in the presence of electric and magnetic fields. A novel stability condition is proposed to obtain the MP zones. This study concerns not only the stable motion infinitesimally near resonance phases, but also the stable motion for small phase deviations from resonance phases, using a “main stability condition.” We provide an improved equation for the stability factor. The explicit analytical solution to this equation makes it possible to develop phase stability zones. We have written and run a computer program which simulates the trajectory of electrons with initial resonance and non-resonance rf phases. We have also tracked electrons starting on one plate and returning to the same plate. In this simulation, the initial velocity of electrons is assumed to be zero. Finally, MP zones are obtained in the Ω–ε plane, using the main stability condition.

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