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Modeling of the L\({}_{1}\) Point Jet Formation in Binary Star Her X1

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Abstract

Observational data from the binary X-ray star system Her X1 indicate that the accretion disk in it is tilted and precesses with a period of about 35 days. Precession leads to unbalanced heating of the donor star and, as a consequence, to nonuniform outflow from its surface. A mathematical model has been developed for the outflow of matter from the surface of a star under the action of heating by an accretor, taking into account the shadow from the accretion disk. The model includes a 3D system of equations for the dynamics of an inviscid partially ionized gas, taking into account gravity and radiation effects. The algorithm is adapted to the use of tetrahedral meshes and takes into account the shadow displacement on the donor surface. Calculations have shown that the presence of a shadow leads to a displacement of the gas flow in the vicinity of the Lagrangian point L\({}_{1}\) . The center of the stream moves up and down, and its shape changes according to the movements of the shadow. Such an effect can lead to a tilt of the accretion disk, which makes the model self-consistent.

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REFERENCES

  1. H. Tananbaum, H. Gursky, E. M. Kellogg, R. Levinson, E. Schreier, and R. Giacconi, ‘‘Discovery of a periodic pulsating binary X-ray source in Hercules from UHURU,’’ Astrophys. J. 174, L143 (1972).

    Article  Google Scholar 

  2. R. Giacconi, H. Gursky, E. Kellogg, R. Levinson, E. Schreier, and H. Tananbaum, ‘‘Further X-ray observations of Hercules X-1 from Uhuru,’’ Astrophys. J. 184, 227 (1973).

    Article  Google Scholar 

  3. N. I. Shakura, N. A. Ketsaris, M. E. Prokhorov, and K. A. Postnov, ‘‘HER X-1: A new model for X-ray dips,’’ Astrophys. Lett. Commun. 38, 165–168 (1999).

    Google Scholar 

  4. N. I. Shakura, D. A. Kolesnikov, P. S. Medvedev, R. A. Sunyaev, M. R. Gilfanov, K. A. Postnov, and S. V. Molkov, ‘‘Observations of Her X-1 in low states during SRG/eROSITA all-sky survey,’’ Astron. Astrophys. 648, A39 (2021).

    Article  Google Scholar 

  5. S. H. Lubow and F. H. Shu, ‘‘Gas dynamics of semidetached binaries’’ Astrophys. J. 198, 383–405 (1975).

    Article  Google Scholar 

  6. M. M. Basko and R. A. Sunyaev, ‘‘Interaction of the X-Ray source radiation with the atmosphere of the normal star in close binary systems,’’ Astrophys. Space Sci. 23, 117–158 (1973).

    Article  Google Scholar 

  7. M. Viallet and J.-M. Hameury, ‘‘Hydrodynamic simulations of irradiated secondaries in dwarf novae,’’ Astron. Astrophys. 475, 597–606 (2007).

    Article  Google Scholar 

  8. A. Kovetz, D. Prialnik, and M. M. Shara ‘‘What does an erupting nova do to its red dwarf companion?,’’ Astrophys. J. 325, 828 (1988).

    Article  Google Scholar 

  9. A. A. Samarskii and Y. P. Popov, Difference Methods for Solving Problems of Gas Dynamics (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  10. V. V. Lukin, K. L. Malanchev, N. I. Shakura, K. A. Postnov, V. M. Chechetkin, and V. P. Utrobin ‘‘3D-modeling of accretion disc in eclipsing binary system V1239 Her,’’ Mon. Not. R. Astron. Soc. 467, 2934–2942 (2017).

    Article  Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Statistical Physics. Pt. 1, Pt. 2 (Pergamon, Oxford, 1980).

    Google Scholar 

  12. M. P. Galanin, V. V. Lukin, and V. M. Chechetkin, ‘‘3D hydrodynamical simulation of accretion disk in binary star system using RKDG CFD solver,’’ J. Phys.: Conf. Ser. 1103, 012019 (2018).

  13. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer, Berlin, 2009).

    Book  Google Scholar 

  14. E. F. Toro, ‘‘The HLLC Riemann solver,’’ Shock Waves 29, 1065–1082 (2019).

    Article  Google Scholar 

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Funding

The study is supported by the Russian Science Foundation (grant no. 21-12-00141).

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Correspondence to V. Lukin, K. Postnov or N. Shakura.

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Lukin, V., Postnov, K. & Shakura, N. Modeling of the L\({}_{1}\) Point Jet Formation in Binary Star Her X1. Lobachevskii J Math 45, 85–94 (2024). https://doi.org/10.1134/S1995080224010360

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  • DOI: https://doi.org/10.1134/S1995080224010360

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