Dust charged particles motion in vicinity of the lagrange libration points

We consider the motion of the particles with small masses and individual elec­tric charges. They produce a self-consistent force field, consisting of gravita­tional and electrostatic parts. We study a behavior of these charged dust particles in the small vicinity of the Lagrange libration points of the Earth-Moon system. Their evolution is described by the Vlasov-Poisson equations. To analyze the possibility of existence of stable configuration, we use the equations of charac­teristics for the Vlasov equation. It turned out that for some values of the param­eters our initial cloud of the dust charged particles has periodically changing stable configuration. © 2020, Univelt Inc. All rights reserved.