Mathematics
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..47...61s&link_type=abstract
Astrophysics and Space Science, vol. 47, Mar. 1977, p. 61-78.
Mathematics
4
Coordinate Transformations, Main Sequence Stars, Stellar Models, Stellar Rotation, Centrifugal Force, Potential Theory, Transformations (Mathematics)
Scientific paper
It was shown in a previous paper that the method of strained coordinates may be usefully employed in the determination of the structure of rotating polytropes. In the present work this idea is extended to main-sequence stars with conservative centrifugal fields. The structure variables, pressure, density, and temperature are considered as pure functions of an auxiliary coordinate s (the strained coordinate), and the governing equations are written in a form that closely resembles the structure equations for spherical stars, but with correction factors that are functions of s. A systematic order-by-order derivation of these factors is outlined and applied in detail to a Cowling-model star in uniform rotation. The technique can be extended beyond first order, and external boundary conditions are applied at the true surface of the star. Roche approximations are not needed.
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