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  4. Method of integral equations in the polytropic theory of stars with axial rotation. II. Polytropes with indices $n>1$

Method of integral equations in the polytropic theory of stars with axial rotation. II. Polytropes with indices $n>1$

MMC.
2021;
Volume 8, Number 3
: pp. 474–485
https://doi.org/10.23939/mmc2021.03.474
Received: June 02, 2021
Accepted: July 15, 2021

Mathematical Modeling and Computing, Vol. 8, No. 3, pp. 474–485 (2021)

Authors:
  1. M. V. Vavrukh
  2. D. V. Dzikovskyi
1
Ivan Franko National University of Lviv
2
Ivan Franko National University of Lviv

A new method for finding solutions of the nonlinear equilibrium equations for rotational polytropes was proposed, which is based on a self-consistent description of internal region and periphery using the integral form of equations.  Dependencies of geometrical parameters, surface form, mass, moment of inertia and integration constants on angular velocity were calculated for indices $n=2.5$ and $n=3$.

polytropic stars
heterogeneous ellipsoids
axial rotation
mechanical equilibrium equation
stability of stars
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