Symbolic analytical solution of N-dimensional radially symmetric polytropes

Details Symbolic analytical solution of N-dimensional radially symmetric polytropes Symbolic analytical solution of N-dimensional radially symmetric polytropes

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004an....325..733s&link_type=abstract

Astronomische Nachrichten, Vol.325, Issue 9, p.733-739

Statistics

Computation

Physical Parameters, Individuals: Stars, Sun, Approach: Power Series, Pad$\Acute{E

Scientific paper

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 Pad\acute{e} technique and changing of the independent variable give us identical polytrope solutions to the numerical one. Physical parameters are presented for N-dimensional radially polytropes. In case of the isothermal sphere, the density profile is accurate to 10-5 per cent whatever the value of \xi is. All the computations are performed using Mathematica software.

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