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

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.

Newtonian polytropes, critical points, bifurcation points, period jump