Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..80..501l&link_type=abstract
Astrophysics and Space Science, vol. 80, no. 2, Dec. 1981, p. 501-511.
Astronomy and Astrophysics
Astrophysics
8
Polytropic Processes, Stellar Rotation, Surface Properties, Approximation, Astronomical Models, Linear Equations, Perturbation Theory
Scientific paper
Algebraic expressions are developed for the volume and surface area of a uniformly rotating polytrope, the expressions depending on a previously developed analytic theory for boundary shape. A comparison with the calculations made by James (1964) shows that the present theory improves on the original Chandrasekhar theory by a factor of 10 or more. Tabulation of the surface area according to the present theory and separately according to a truncated approximation that is linear in the perturbation parameter, v, shows substantial divergence with progressively larger v. It is concluded that a first-order perturbation theory in the potential and an explicit expression for the boundary should be treated as separate developments in the perturbation parameter.
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