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Seven-digit tables of Lane-Emden functions
Authors:G P Horedt
Institution:(1) Institut für Optoelektronik, Deutsche Forschungs- und Versuchs-Anstalt für Luft- und Raumfahrt, D-8031 Wessling, Germany
Abstract:In Table I we present seven digit numerical solutions of the Lane-Emden equation for the plane-parallel, cylindrical, and spherical case for polytropic indices ofn=–10, –5, –4, –3, –2, –1.5, –1.01, –0.9, –0.5, 0, 0.5, 1, 1.5, 2, 3, 4, 5, 6, 10, 20, ±infin, supplemented byn=2.5, 3.5, 4.5, and 4.99 for the spherical case.In Table II some finite boundary values of polytropic slabs, cylinders, and spheres are summarized. For polytropic spheres (N=3) we have also quoted boundary values near the minimum of the dimensionless mass -xgr2 1theta1 occurring atnsime4.823 (Seidov and Kuzakhmedov, 1978).
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