Standing shocks in isothermal rotating winds and accretion

Abstract
We study the properties of the standing shocks in the rotating isothermal accretion and winds near the compact objects. The flow is assumed to be non-dissipative except possibly at the shocks. We show that for a given set of the initial parameters, the shock can formally locate itself at one of the four positions. We also perform a local stability analysis to show that in some range of the parameter space shocks in some of the locations are stable. In some other range, shocks at none of the locations are stable. Black hole accretion with these parameters is inherently non-stationary.

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