Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..48..165l&link_type=abstract
Astrophysics and Space Science, vol. 48, no. 1, May 1977, p. 165-183.
Astronomy and Astrophysics
Astrophysics
17
Polytropic Processes, Rotating Bodies, Boundary Value Problems, Error Analysis, Tables (Data)
Scientific paper
It was previously argued on the basis of preliminary calculations that a major part of the discrepancy between Chandrasekhar's (1933) original analytic theory on rotational distortion of polytropes and the direct numerical results of James (1964) arises from approximations in the boundary calculation, the approximations being independent of the restriction of the expression for the potential to a first-order term in the rotation parameter. This paper confirms the previous argument on the basis of more extensive computations and considers controversies involving convergence of the perturbation theory as well as how to fit the potential on the interior of the polytrope to the exterior potential. The equilibrium theory of uniformly rotating polytropes is outlined together with Chandrasekhar's analytic approximation. The use of the equilibrium theory in calculation of a distorted polytrope boundary is reviewed, and some numerical results are presented for a polytrope index of 3.0. The equatorial radius of a polytrope with an index of 3.0 is computed for the case of critical rotation.
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