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Symbolic analytical solution of N-dimensional radially symmetric polytropes
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| Organization: | National Research Institute of Astronomy and Geophysics, Cairo, Egypt |
| Department: | Department of Astronomy |
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| Astronomische Nachrichten |
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In this paper, accelerated power series solutions are developed for N-dimensional symmetric radially polytropes. The solutions are valid for any geometric and polytropic index. The implementation of PadŽe technique and changing of the independent variable give us identical polytrope solutions to the numerical one. Physical parameters are presented for Ndimensional radially polytropes. In case of the isothermal sphere, the density profile is accurate to 10−5 per cent whatever the value of ξ is. All the computations are performed using Mathematica software.
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stars, sun, power series, Pade approximants, Lane-Emden equations
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