The shape of a rapidly rotating polytrope with index unity
Solar and Stellar Astrophysics
2017-01-23 v1 Earth and Planetary Astrophysics
Abstract
We show that the solutions obtained in the paper `An exact solution for arbitrarily rotating gaseous polytropes with index unity' by Kong, Zhang, and Schubert represent only approximate solutions of the free-boundary Euler-Poisson system of equations describing uniformly rotating, self-gravitating polytropes with index unity. We discuss the quality of such solutions as approximations to the rigidly rotating equilibrium polytropic configurations.
Keywords
Cite
@article{arxiv.1701.05782,
title = {The shape of a rapidly rotating polytrope with index unity},
author = {Jerzy Knopik and Patryk Mach and Andrzej Odrzywolek},
journal= {arXiv preprint arXiv:1701.05782},
year = {2017}
}
Comments
5 pages, 3 figures, to appear in MNRAS