Lane-Emden Applet
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table

applet table



graph menu

 Select "u(z), du/dz" from the "Graph" menu:

graph u(z)


Select "T0(n), rho0(n), P0(n)" from the "Graph" menu:

core values temperarure density pressure

table

Select Table: "T0(n,M)":

temperature center index mass
There are analytical solutions of the Lane-Emden differential equation for:
n = 0:    z0 = sqrt(6) = 2.449490

n = 1:    z0 = π = 3.141593

n = 5:    z0 = inf


Test of the accuracy of my applet:

numerical sulution accuracy error

numerical sulution accuracy error


The relative error Δz0/z0 is of the same order of magnitude as the step size dz.


Last update: 2023, Oct 07