  Numerous sources produce the ionization impact on the planetary atmosphere.
The tropospheric cloudiness therewith is originated at such altitudes, which
coincide with places of the maximum of the atmospheric ionization that caused
by space radiation. Components of cosmic radiation, penetrating down to the
stratospheric and tropospheric altitudes, produce in the first place the
ionization of aerosols that brings to subsequent amplifying the activity of
atmospheric vortices. The ionized aerosol constituent is of primary importance
both in the initiation of plasma vortices and in the concentration of
energy-mass by air vortices due to the humidity condensation. The ionization
process is cascading, that causes the non-linear impact of penetrating rays,
which amplifying with growing the air pollution. Various heterogeneities inside
plasma subsystems provoke the random intensification of aperiodic electrostatic
disturbances, which can exert a significant action on the development of
vortices. Sometimes beaded lightning arises during thunderstorm. Using the
approach of the Boltzmann kinetic equation, the characteristics of
electrostatic oscillations for non-uniform plasma, are analytically derived.
The analytical expressions are obtained for non-magnetized plasma. In the
limits of the Earth's atmosphere, these solutions are strictly applicable to
the origination of electrostatic modulations along the lines of force of the
geomagnetic field and approximately applicable in cases, when the impact of the
Earth's magnetic field is negligible. The explicit expressions are deduced both
in the hot plasma approximation and in the cold plasma approximation. It is
demonstrated that the formation of chain elements of discharge in hot
inhomogeneous plasma is defined by the nonmonotonic distribution of charges and
fields. At such conditions, the irregularities breaks up into a cellular
structure.
