  Along with crossed electric and magnetic fields in a Hall thruster, a radial
component of electric field is generated that takes ions toward the walls,
which causes sputtering and produces dust contamination in the thruster plasma.
Considering negatively charged dust particles in the Hall thruster, we approach
analytically the resistive instability by taking into account the oscillations
of dust particles, ions and electrons along with finite temperatures of ions
and electrons. In typical Hall thruster regimes, the resistive instability
growth rate increases with higher collision rates in the plasma, stronger
magnetic field but it decreases with higher mass of the dust and higher
temperature of the ions and electrons. In comparison with dust-free models, the
presence of dust results into a drop of the resistive instability growth rate
by three orders of magnitude, but the growth rate increases slowly for dust
densities within the typical range.
