Rotational distortion of polytropes by analytic approximation

Details Rotational distortion of polytropes by analytic approximation Rotational distortion of polytropes by analytic approximation

Oct 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..37...73l&link_type=abstract

Astrophysics and Space Science, vol. 37, Oct. 1975, p. 73-86.

Astronomy and Astrophysics

Astrophysics

13

Chandrasekhar Equation, Orbit Perturbation, Perturbation Theory, Polytropic Processes, Rotation, Error Analysis, Legendre Functions, Newton-Raphson Method, Numerical Integration, Stellar Motions, Stellar Rotation

Scientific paper

The first-order perturbation theory of Chandrasekhar (1933) for rotational distortion of polytropes is modified to permit the rapid calculation of boundary shape and surface gravity as a function of rotation parameter and polytropic index. It is noted that this modification requires analytic approximations for the Emden function and the associated Emden functions near the boundary of the Emden sphere. Numerical results are presented for a critically rotating polytrope with an index of 3. Comparison with previous results by other authors shows that the present analytical theory is as accurate as other published first-order theories.

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