New Generating Sets of the First Order Lane-Emden Differential Equations in N-Dimensional Radially Symmetric Polytropes

M. A. Sharaf, A. S. Saad

Department of Astronomy, Faculty of Science, King Abdul-Aziz University, Jeddah, Saudi Arabia.
Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt.

DOI: 10.4236/am.2013.44090                

Abstract

In the present paper, two new generating sets, of homology invariant functions will be established. Moreover, by the aid of two independent homology invariant functions of each set we established the transformed first order Lane-Emden equation. The first equation for polytropic index n ≠–1, ±∞ depends on five free parameters, while the other equation is for, n ＝ ±∞ and depends on three free parameters.

Keywords

Homology Theorem; Lane-Emden Differential Equations; Stellar Interior

Conflicts of Interest

The authors declare no conflicts of interest.

References

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