faced degeneracies

I spent what could have been tourism time in beautiful Halifax, and all my time in airports, on airplanes, and in ground transportation facing the degeneracies with which I have been plagued. I decided that the real prior we have is that we expect the angular distribution of true matches to be monotonically decreasing to larger angular radius, and we expect it to decrease in particular ways at very small scales and at large scales. I figured out how to enforce this in my expectation-maximization code, spent ages writing and debugging that code, and it now works!