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Published online by Cambridge University Press: 07 August 2017
Dynamical evolution of a plane system of non-interacting particles, which are in a certain smoothed-out regular field, is of a certain interest in a number astronomical applications. Among them are the plane subsystems of the spiral galaxies, the rings of the giant planets and protoplanetary nebulae. The problem of determining the stationary state of these systems has been studied enough [1]. But one seldom comes across studies concerning with the reaction of the non-stationary field.