Analytical and numerical values of Emden-Chandrasekhar associated functions

Details Analytical and numerical values of Emden-Chandrasekhar associated functions Analytical and numerical values of Emden-Chandrasekhar associated functions

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...357..560h&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 357, July 10, 1990, p. 560-565.

Statistics

Computation

6

Chandrasekhar Equation, Stellar Interiors, Stellar Rotation, Bessel Functions, Boundary Value Problems, Computational Astrophysics

Scientific paper

A systematic compilation of the exact and approximate values of the Emden-Chandrasekhar functions (ECFs) psi(0), psi(2), psi(3), and psi(4) and their derivatives at boundary xi(1) of the undistorted spherical polytropes is presented for polytropic indices n = 0-5. The surface values of the derivative of the Lane-Emden function theta(1) are also included, and it is demonstrated analytically that (1) ECFs of order j greater than 2 do not appear in rotational problems and (2) ECFs of order j greater than 4 do not arise in tidal and binary-star problems.

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