Simple analytic formulas are obtained for the equatorial radius and relative rotation velocity of a star as functions of its absolute and relative angular momentum as a Huygens-Roche figure. The results are compared with numerical simulations of the structure of rotating stars and it is shown that the analytic model considered here is sufficient for describing the corresponding parameters.
Similar content being viewed by others
References
P. A. Tarakanov and A. S. Artamonov, Astrophysics 58, 550, 2015.
S.Ekström, et al., Astron. Astrophys. 478, 467, 2008.
A.Palacios, in: “EAS Publications Series”, Ed. by P.Hennebelle and C.Charbonnel, 62, 227, 2013.
A. Maeder, “Physics, Formation and Evolution of Rotating Stars”, Astron. Astrophys. Library, Springer-Verlag, Berlin Heidelberg, 2008.
Zh.-L. Tassul’, Theory of Rotating Objects [Russian translation], Mir, Moscow, 1982.
N. P. Pit’ev, V. B. Titov, K. V. Kolshevnikov, Equilibrium Figures of Celestial Objects [in Russian], Izd-vo SPbGU, 2002.
R. G. Deupree, Astrophys. J. 735, 69, 2011.
H. A. Folonier, S. Ferraz-Mello, and K. V .Kholshevnikov, Cel. Mech. Dyn. Astron. 122, 183, 2015.
Z. F. Seidov, arXiv: 0407175 [astro-ph], 2004.
G. T. van Belle, Astron. Astrophys. Rev. 20, id. 51, 2012.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Astrofizika, Vol. 65, No. 4, pp. 579-586, November 2022.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Karelin, G.M., Kostina, M.V., Tarakanov, P.A. et al. Simple Model of a Rotating Star as a Huygens-Roche Figure. Astrophysics 65, 552–559 (2022). https://doi.org/10.1007/s10511-023-09760-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10511-023-09760-8