Polytropic Index at the Bow Shock Inferred From Density and Field Compression

Astronomy and Astrophysics – Astrophysics

Scientific paper

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7500 Solar Physics, Astrophysics, And Astronomy

Scientific paper

Data from the Cluster spacecraft obtained during crossings of the earth's bow shock is studied to attempt to obtain a value for the polytropic index γ of the plasma in that region. Specifically, the compression ratio (average downstream density / average upstream density) and magnetic field ratio (average downstream magnetic field / average upstream magnetic field) are found for numerous instances of the shock and then used to determine the polytropic index, through the use of the MHD Rankine-Hugoniot equations. We find that in both cases, the polytropic index is consistent with a value falling in the range 5/3 < γ < 2 over a wide range of Mach numbers.

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