Polytropic star structure analysis under Bonnor-Ebert gas sphere astrophysical configuration thorough investigating analytical solutions to the related Lane-Emden equation

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In this paper, Bonnor-Ebert gas sphere model of polytropic stars has been investigated through an analytical approach. Two confirmed and well-established methods have been used: the Enhanced Lagrangian Formulation Method ELFM and the Boubaker Polynomials Expansion Scheme BPES. Solutions to the related generalized Lane-Emden equation of the second kind have been expressed and plotted. Results have given evidence to the relevance of the dimensionless Bonnor-Ebert radius, in good agreement with some recently proposed profiles.

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