PROTON AND HELIUM CYCLOTRON ANISOTROPY INSTABILITY THRESHOLDS IN THE MAGNETOSHEATH

Both the protons and the helium ions of the terrestrial magnetosheath typically display T(perpendicular-to) > T(parallel-to), where perpendicular-to and parallel-to denote directions perpendicular and parallel to the back-ground magnetic field. Observations of the highly compressed magnetosheath show an inverse correlation between these ion temperature anisotropies and the parallel proton beta. Computer simulations have demonstrated that these correlations are due to wave-particle scattering by electromagnetic ion cyclotron anisotropy instabilities. These correlations correspond to linear theory thresholds of the proton cyclotron and the helium cyclotron instabilities. This paper uses linear Vlasov theory and the assumption of a constant maximum growth rate to obtain closed-from expressions for these thresholds as a function of the relative helium density and the parallel proton beta in a parameter model of the magnetosheath.