Rotational distortion of polytropes by analytic approximation,II |
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Authors: | Albert P Linnell |
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Institution: | (1) Dept. of Astronomy and Astrophysics, Michigan State University, E. Lansing, Michigan, U.S.A. |
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Abstract: | Chandrasekhar's (1933) paper on rotational distortion of polytropes contained a perturbation term in the potential which was
linear inv, the rotation parameter. The same paper, and subsequent papers by various authors, developed an analytic expression for the
boundary also linear inv. The latter expression is equivalent to a two term Taylor series about the unperturbed boundary, and is in error by 12% near
critical rotation, for a polytropic index 3.0. The boundary can be located directly from the functions representing density,
potential, and the potential gradient. The boundary error by this procedure is 0.2% near critical rotation. |
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