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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Linnell, A.P. A boundary equation for uniformly rotating polytropes. Astrophys Space Sci 48, 185–190 (1977). https://doi.org/10.1007/BF00643049
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DOI: https://doi.org/10.1007/BF00643049