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Approximation functions to the Emden and associated emden functions near the first zero

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Abstract

Analytic expressions are presented which approximate the Emden function θ, and the associated Emden functions,ψ o andψ 2, and their derivatives, near the first zero of θ,ξ o. The range of accurate representation extends toξ= 1.5ξ 1. This range is sufficient to encompass the boundary of a critically rotating polytrope.

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Author notes

  1. Albert P. Linnell

    Present address: Dept. of Astronomy and Astrophysics, Mich. State Univ., E. Lansing, Michigan, U.S.A.

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  1. Institute of Astronomy, University of Cambridge, England

    Albert P. Linnell

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  1. Albert P. Linnell
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Linnell, A.P. Approximation functions to the Emden and associated emden functions near the first zero. Astrophys Space Sci 37, 57–72 (1975). https://doi.org/10.1007/BF00646062

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  • DOI: https://doi.org/10.1007/BF00646062

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