The boundary conditions for polytropic gas spheres

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Boundary Conditions, Boundary Value Problems, Cosmic Gases, Polytropic Processes, Rotating Spheres, Stellar Models, Chandrasekhar Equation, Computer Techniques, Numerical Integration

Scientific paper

Numerical solutions are obtained for the Emden equation of polytropic density and the associated zero-order Emden functions psi(0) of Chandrasekhar (1933) and presented in a table for values of the index n between 0 and 5. These computer results (to 10 decimal places) are shown to be more accurate than those hand-calculated by Comrie and Sadler (1930) and are to be applied to a quantitative investigation of the effects of axial rotation on the shape and density distribution of polytropic gas spheres, using the method of Kopal (1983) in Clairaut coordinates.

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