Mikhailovsky's finite Larmor radius effects and gravitational instability of plasma,treated by method of moments of Boltzmann-Vlasov equation

The effect of the stabilization of the gravitational instability of a hot rarefied plasma by the finite Larmor radius, established by Rosenbluth, Krall and Rostocker with the aid of the collisionless Boltzmann-Vlasov equation, was later derived by several authors from the magnetohydrodynamic equations modified by terms describing the magnetic viscosity of the plasma. It is shown in this paper that even the effect of the disappearance of this stabilization at very low plasma density, as found by Mikhailovsky, may be derived from the two-fluid macroscopic equations (the method of moments of the Boltzmann-Vlasov equation) using a very simple iterative procedure in which directly figures the so-called effective electric field of perturbation employed by some authors for physical interpretation of the effects of the finite Larmor radius.