Emden-Chandrasekhar axisymmetric, solid-body rotating polytropes. I - Exact solutions for the special cases N equals 0, 1 and 5

Details Emden-Chandrasekhar axisymmetric, solid-body rotating polytropes. I - Exact solutions for the special cases N equals 0, 1 and 5 Emden-Chandrasekhar axisymmetric, solid-body rotating polytropes. I - Exact solutions for the special cases N equals 0, 1 and 5

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..71..415c&link_type=abstract

Astrophysics and Space Science, vol. 71, no. 2, Aug. 1980, p. 415-457. Research supported by the Consiglio Nazionale delle Rice

Astronomy and Astrophysics

Astrophysics

19

Axisymmetric Bodies, Chandrasekhar Equation, Gravitational Fields, Polytropic Processes, Rotating Bodies, Solid State, Celestial Mechanics, Equilibrium Equations, Equipotentials, Inertia, Mass Distribution, Roche Limit, Surface Stability, Tables (Data)

Scientific paper

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.

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