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Emden equation

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Emden equation [′em·dən i‚kwā·zhən]
(astrophysics)
An equation for stellar structure which arises in a model based on the assumption that the star is a gaseous sphere in adiabatic equilibrium, in which the pressure is proportional to ργ, where ρ is the density and γ is a constant; the equation isd2y/dx2+ (2/x)dy/dx+yn=0, wheren=1/(γ - 1),xis proportional to the distance from the center of the sphere, andyis proportional to ρ1/n. Also known as Lane-Emden equation.


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