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Jan 17 at 23:23 comment added Priya Bose Thank you! I'll try looking into these sources. I appreciate the help!
Jan 16 at 21:58 comment added FlatterMann See e.g. vikdhillon.staff.shef.ac.uk/teaching/phy213/phy213_le.html for the numerical solution of the Lane-Emden equation. I am not an astronomer, so I didn't know that this is what this equation is called. There is something new to learn every day.
Jan 16 at 21:50 comment added FlatterMann For spherical shells the gravity at a given radius is given by the total mass inside that shell. The problem with numerical calculations for gravity acting on compressible matter is that it has to be self-consistent. The gravity depends on the density function rho(r), but the density function rho(r) also depends on the gravity. In astronomy the problem of hydrostatic equilibrium of compressible bodies is associated with the term "polytrope". I found e.g. web.gps.caltech.edu/classes/ge131/notes2016/Ch9.pdf discussing this.
Jan 16 at 18:12 history edited Qmechanic CC BY-SA 4.0
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S Jan 16 at 17:23 review First questions
Jan 16 at 17:41
S Jan 16 at 17:23 history asked Priya Bose CC BY-SA 4.0