The basic theory of polytropes is considered, and a precise equation for defining non-outer equipotential surfaces is derived. A new method is proposed for determining the explicit expression of the gravitational potential which consists of equating the expression and its first radial derivative determined by accounting for the equilibrium condition, with the corresponding expression of the potential and its derivative computed by accounting for mass distribution. EC polytropes with n equals 5 consist of an inner massive nonrotating component and an outer zero-density rotating atmosphere; some properties of EC polytropes and R polytropes with n equals 0 are discussed.
Emden-Chandrasekhar axisymmetric, solid-body rotating polytropes. I - Exact solutions for the special cases n = 0, 1 and 5
CAIMMI, ROBERTO
1980
Abstract
The basic theory of polytropes is considered, and a precise equation for defining non-outer equipotential surfaces is derived. A new method is proposed for determining the explicit expression of the gravitational potential which consists of equating the expression and its first radial derivative determined by accounting for the equilibrium condition, with the corresponding expression of the potential and its derivative computed by accounting for mass distribution. EC polytropes with n equals 5 consist of an inner massive nonrotating component and an outer zero-density rotating atmosphere; some properties of EC polytropes and R polytropes with n equals 0 are discussed.Pubblicazioni consigliate
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