Complex-plane strategy for computing rotating polytropic models - efficiency and accuracy of the complex first-order perturbation theory

Journal Article · Fri Apr 01 00:00:00 EST 1988 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/166188· OSTI ID:7252155

Geroyannis, V S

In this paper, a numerical method is developed for determining the structure distortion of a polytropic star which rotates either uniformly or differentially. This method carries out the required numerical integrations in the complex plane. The method is implemented to compute indicative quantities, such as the critical perturbation parameter which represents an upper limit in the rotational behavior of the star. From such indicative results, it is inferred that this method achieves impressive improvement against other relevant methods; most important, it is comparable to some of the most elaborate and accurate techniques on the subject. It is also shown that the use of this method with Chandrasekhar's first-order perturbation theory yields an immediate drastic improvement of the results. Thus, there is no neeed - for most applications concerning rotating polytropic models - to proceed to the further use of the method with higher order techniques, unless the maximum accuracy of the method is required. 31 references.

• Research Organization: Patras Univ. (Greece)
• OSTI ID: 7252155
• Journal Information: Astrophys. J.; (United States), Vol. 327
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
STAR MODELS
PERTURBATION THEORY
STARS
ROTATION
EQUATIONS OF STATE
NUMERICAL SOLUTION
POISSON EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
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