Estimated relations at a shock driven by a coronal mass ejection

preprint2010arXivOpen access

Abstract

Analysis of SOHO/LASCO C3 data reveals a discontinuity, interpreted as a shock wave, in plasma density radial profiles in a restricted region ahead of each of ten selected coronal mass ejections (CME) along their travel directions. In various events, shock wave velocity V≈V\approx 800-2500 km s−1^{-1}. Comparing the dependence of Alfvén Mach number MAM_A on shock wave strength ρ2/ρ1ρ_2/ρ_1, measured at R>10R⊙R > 10R_\odot from the center of the Sun, to ideal MHD calculations suggests that the effective adiabatic index γγ, characterizing the processes inside the shock front, is largely between 2 and 5/3. This corresponds to the effective number of degrees of freedom of motion 2 to 3. A similar dependence, MA(ρ2/ρ1)M_A(ρ_2/ρ_1), was derived for the Earth's bow shock and interplanetary collisionless shock waves. All this supports the assumption that the discontinuities in front of CMEs are collisionless shock waves.

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