Statistics – Applications
Scientific paper
Sep 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...248..504v&link_type=abstract
Astrophysical Journal, Part 1, vol. 248, Sept. 1, 1981, p. 504-515.
Statistics
Applications
27
Galactic Structure, Stellar Models, Stellar Rotation, Stellar Systems, Approximation, Barotropic Flow, Ellipsoids, Interstellar Matter, Rotating Fluids, Thermodynamic Equilibrium
Scientific paper
A new method is presented for the construction of the equilibrium configurations of rotating stars and stellar systems. A configuration is represented in a first approximation as stratified on similar and similarly situated ellipsoids. The stratification is determined by solving a spherically symmetric model of the governing equations, whereas the ellipsoidal geometry is determined by solving the tensor virial equations of the second order. The structure of the configuration is determined in a second approximation by solving exactly the equations of mechanical equilibrium in which the prevailing gravitational field is given by the solution for the field obtained in the first approximation. The method is formulated in detail for barotropic configurations and applied to the construction of both axisymmetric and nonaxisymmetric configurations of uniformly rotating polytropes. Comparisons of the present results with results obtained in other investigations with the aid of purely numerical methods show that the new method described here gives a surprisingly accurate representation of the structures of uniformly rotating polytropes. Generalizations and wider applications of the method are briefly described.
Vandervoort Peter O.
Welty Daniel E.
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