Critical Points and Points of a Bifurcation of the Rotating Magnetized Newtonian Polytropic with 0.9 ≤ n ≤ 1.6 Index

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Abstract


In this paper, the presence of critical points and bifurcation points of rotating Newtonian polytropes with an index of 0.9 ≤ n ≤ 1.6 has been shown for the first time. The symbolic-numerical calculation error in metric L2 has reached the size of 10 −5 order. The approximate analytical solution of the problem to the above mentioned accuracy has been set forth. The critical value of polytropic curve index n = nk =1.54665 has been calculated which is the highest one among the critical points and bifurcation points.

V V Zhuravlev

Tver State University

S A Mikheev

Tver State University

Email: sergjan80@rambler.ru

V P Tsvetkov

Tver State University

Email: tsvet@tversu.ru

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Copyright (c) 2014 Журавлёв В.В., Михеев С.А., Цветков В.П.

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