Third-order perturbation theory - Structure parameters of uniformly rotating polytropic stars and improvement and accuracy of the results

Physics

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Perturbation Theory, Polytropic Processes, Stellar Physics, Stellar Structure, Accuracy, Stellar Models, Stellar Rotation

Scientific paper

The authors present numerical results referring to structure parameters of uniformly rotating polytropic stars. The results are computed by implementation of both a second- and a third-order perturbation theory. Comparison of the results with previous work on uniformly rotating polytropes shows that the behavior of the second-order theory is satisfactory for states of slow to moderate rotation, while third-order theory is clearly superior to the second-order theory for states of moderately rapid to critical rotation.

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