Editing Appendix/Ramblings/PatrickMotl (section)

==May 1 (from Patrick)==

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Hi Joel,

I hope things are well for you and yours. 

I did finally have a couple research students this semester that were able to
slog their way into unix, programming, etc. far enough to do some useful things.

They ran two spherical bipolytropes with my old cylindrical code. These were 
n = 5 cores with n = 1 envelopes. No density discontinuity. One model
is a little below the stability boundary in xi, the other is a little above the 
stability boundary.

What I can see from the evolutions, especially now that I made plots of
the entropy, is that they are convectively unstable and that is just a 
mess with the core convecting into the envelope.

Did you happen to have any thoughts on what might be a better case to run?
When I get done grading finals I am going to work through the equations 
with kappa set explicitly in the envelope so the entropy profile is flat and
just live with whatever density discontinuity that gives me.

cheers,
Patrick
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