Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8379Research ArticleCritical Points and Points of a Bifurcation of the Rotating Magnetized Newtonian Polytropic with 0.9 ≤ n ≤ 1.6 IndexZhuravlevV V-MikheevS Asergjan80@rambler.ruTsvetkovV Ptsvet@tversu.ruTver State University15022014229229408092016Copyright © 2014,2014In 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 polytropescritical pointsbifurcation pointsperiod jumpньютоновская политропакритические точкиточки бифуркациискачок периода[Jeans J. H. Problems of Cosmogony and Stellar Dynamics. Adams Prize Essay for 1917. - Cambridge: University Press, 1919.][James R. A. The Structure and Stability of Rotating Gas Masses // The Astrophysical Journal. - 1964. - Vol. 140. - Pp. 552-582.][Mikheev S. A., Tsvetkov V. P. Critical Points and Points of the Bifurcation of the Rotating Magnetized Newtonian Polytropes with a 1 ≤ n ≤ 1.6 Index // Physics of Particles and Nuclei Letters. - 2013. - Vol. 10, No 3. - Pp. 234-242.][Mikheev S. A., Tsvetkov V. P. Shift in the Bifurcation Points of Rotating Magnetized Newtonian Polytropes Caused by a Magnetic Field // Astrophysics. - 2008. - Vol. 51, No 2. - Pp. 262-267.][Taylor J. H., Manchester R. N., Lyne A. G. Catalog of 558 Pulsars // The Astrophysical Journal Supplements Series. - 1993. - Vol. 88, No 2. - Pp. 529-568.]