Solution topologies of polytropic winds

We study steady polytropic wind flows by examining their solution topologies; effects included are departures from spherical symmetry and nonthermal momentum addition (such as by waves). The problem is first treated in full generality for the one-dimensional case; here we extend previous work on isothermal flows, and on the existence of degenerate solution topologies, to the nonisothermal case. We then examine the polytropic flow problem in the context of a specific model for the form of the streamlines which is taken from a dynamically consistent calculation of the form of open and closed field lines in a magnetosphere. The advantage of this adopted field/streamline geometry is that, unlike earlier models which did not allow wind flows from polar coronal holes to approach the ecliptic at large heliocentric distances, our does