Lane-Emden Equation -- from Eric Weisstein's World of Physics

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Lane-Emden Equation

Portions of this entry contributed by Vinod Krishan

A second-order ordinary differential equation Eric Weisstein's World of Math that applies to polytropic profiles in density, defined as those which have the form

(1)

where P is pressure, K is a constant, is the density, and

(2)

with n is an integer (Chandrasekhar 1960).

Polytropic Profile




References

Chandrasekhar, S. Radiative Transfer. New York: Dover, 1960.

Krishan, V. (Ed.) Astrophysical Plasmas and Fluids. Dordrecht, Netherlands: Kluwer, 1999.



© 1996-2007 Eric W. Weisstein

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