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A boundary equation for uniformly rotating polytropes
Authors:Albert P Linnell
Institution:(1) Dept. of Astronomy and Astrophysics, Michigan State University, E. Lansing, Mich., U.S.A.
Abstract:A linear approximating equation exists for the boundary of a uniformly rotating polytrope. The equation in η=(ξ1−ξ)/ξ1 permits rapid calculation of the polytrope radius for any latitude, and is accurate for angular velocities of rotation nearly to critical rotation. Data in this paper apply to a polytrope indexn=3.0.
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