One- vs. Two-Shock Heliosphere: Constraining Models with GHRS LyA Spectra toward alpha Cen

Redshifted L$\alpha$ absorption toward $\alpha$ Cen has been interpreted by Linsky & Wood (1996) and Frisch et al. (1996) as evidence for decelerated interstellar hydrogen piled up on the upstream side of the heliosphere. We utilize newly developed two-dimensional multi-fluid models of the solar wind interaction with the ISM to corroborate this interpretation by synthesizing the L$\alpha$ absorption profile predicted for this ``hydrogen wall''. Both subsonic and supersonic inflow into the heliosphere are considered, corresponding to one-shock and two-shock global morphologies, respectively. It is found that these two extremes give observably different redward absorption characteristics in the L$\alpha$ profiles, and our preliminary conclusion is that the L$\alpha$ profiles seen toward $\alpha$ Cen favor a barely subsonic model (Mach number 0.9). For such a model to hold, additional interstellar pressure terms, such as cosmic ray or magnetic pressures, must contribute. To make this conclusion more certain, an extended model-parameter survey is required, coupled with L$\alpha$ data along other lines of sight.