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Elliptical motion of a star in a close binary system

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Abstract

The motion of a rotating star in a close binary system with conservative mass exchange is considered. In contrast to the Paczyński-Huang model, the new model applied examines the relative motion of a star along an elliptical orbit in a close binary system, taking into account the mutual gravitation between the stars, reactive forces, the gravitation exered on the stars by the mass-transfer stream, and perturbations due to the rotation of the accreting star. The variations of the semi-major axis and eccentricity of the orbit and the orbital angular velocity of the accreting star as a function of the component-mass ratio q are determined. The results are applied to the BF Aurigae system.

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References

  1. S. S. Huang, Ann. Rev. Astron. Astrophys. 4, 35 (1966).

    Article  ADS  Google Scholar 

  2. B. Paczynski, Acta Astron. 16, 231 (1966).

    ADS  Google Scholar 

  3. L. G. Luk’yanov, Astron. Rep. 52, 680 (2008).

    Article  ADS  Google Scholar 

  4. L. G. Luk’yanov and S. A. Gasanov, Astron. Rep. 55, 733 (2011).

    Article  ADS  Google Scholar 

  5. A. A. Medvedeva, Vestn. Mosk. Univ., Ser. 3: Fiz. Astron., No 1, 74 (2013).

    Google Scholar 

  6. J. F. Sepinsky, B. Willems, V. Kalogera, and F. A. Rasio, Astrophys. J. 667, 1170 (2007).

    Article  ADS  Google Scholar 

  7. G. N. Duboshin, Celestial Mechanics. Fundamental Problems and Methods (Nauka, Moscow, 1968) [in Russian]

    Google Scholar 

  8. L. G. Luk’yanov, Astron. Rep. 49, 1018 (2005).

    Article  ADS  Google Scholar 

  9. J. Kallrath and K. G. Strassmeier, Astron. Astrophys. 362, 673 (2000).

    ADS  Google Scholar 

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Correspondence to S. A. Gasanov.

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Original Russian Text © A.A. Medvedeva, S.A. Gasanov, 2014, published in Astronomicheskii Zhurnal, 2014, Vol. 91, No. 8, pp. 643–651.

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Medvedeva, A.A., Gasanov, S.A. Elliptical motion of a star in a close binary system. Astron. Rep. 58, 554–562 (2014). https://doi.org/10.1134/S1063772914080046

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  • DOI: https://doi.org/10.1134/S1063772914080046

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