Abstract
An electrostatic model for the shock observed in theearth's polar region is established by deriving the ``Sagdeev potential'' fromthe magnetohydrodynamic equations in a cylindrical coordinate system. Theresults show that the shock can develop from the ion acoustic wave or ioncyclotron wave in the polar region, and can exist when the Mach number M andthe initial electric field E0 satisfy the condition of|(a/M2−1) E0| = 1. Also, some featuresof the shock wave are discussed. The result can interpret the electrostaticshock observed in the earth's polar region.
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