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Fig. 1

image

Left panel: analytic solutions for the γ = 4/3,5/3 polytropic radial density profile from the Lane-Emden equation. Right panel: plot of the relaxed radial stellar density profile for each simulation technique for both politropic indices (γ = 4/3,5/3 from the highest to the lowest central density). Units are for ρ and R for r.

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