Can Galactic Fluid Dynamics Be Analyzed More Analytically Using Fluid Equations?

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FunkyDwarf
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Hey guys,

I have the following (non-homework) problem:

I am simulating a collection of normally distributed non-interacting stars falling into a much larger galactic potential from some radial distance and some initial velocity and watching them slosh around in this potential. Currently i am doing this via n-body simulations and looking at how the dynamics change when i make the potential more or less lumpy. My question is: is it possible to do this more analytically via fluid equations? My understanding is that things like the Boltzmann equation would be good to work with except they describe self gravitating systems. Basically what i would like to be able to do is model everything via density distributions, ie i plug a (number or mass it doesn't matter, considering equal mass test particles) density distribution into a potential caused by something else and see what happens. Any suggestions?

Cheers
-G
 
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i don't know, but your work definitely sounds interesting and i wish i could work on it