Synlett.
Vol. 31.
2020.
P. 255-260
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.