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Evolution model for substellar objects

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Abstract

A new model for the evolution of substellar objects is proposed, which enables computation of their internal structure and evolution in an adiabatic approximation without allowance for axial rotation, magnetic fields, and nuclear reactions. The basic set of differential equations in the model contains a new equation for the gradient of the electron degeneracy parameter and adiabatic coefficients of the new type. The results of numerical simulations of evolutionary sequences of hydrogen (X = 1), helium (Y = 1), and hydrogen-helium (X = 0.75, Y = 0.25) substellar objects with masses M < 0.08 M ⊙ during the evolutionary stage 106 yr < t < 1010 yr are reported. Luminosity-effective temperature, mass-radius, radius-time, central temperature-central density, and central temperature-age relations are analyzed for the indicated chemical composition.

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References

  1. S. S. Kumar, Astrophys. J. 137, 1121 (1963).

    Article  ADS  Google Scholar 

  2. S. S. Kumar, Astrophys. J. 137, 1126 (1963).

    Article  ADS  Google Scholar 

  3. C. Hayashi and T. Nakano, Prog. Theor. Phys. 30, 460 (1963).

    Article  ADS  Google Scholar 

  4. Yu. V. Aleksandrov and V. A. Zakhozhai, Astron. Vestn. 14, 129 (1980).

    ADS  Google Scholar 

  5. A. S. Grossman and D. Hays, Astron. Astrophys. 30, 95 (1974).

    ADS  Google Scholar 

  6. A. S. Grossman and H. C. Graboske, Astrophys. J. 180, 195 (1973).

    Article  ADS  Google Scholar 

  7. M. Rees, Mon. Not. R. Astron. Soc. 176, 483 (1976).

    ADS  Google Scholar 

  8. G. Chabrier and I. Baraffe, Astron. Astrophys. 327, 1039 (1997).

    ADS  Google Scholar 

  9. F. D’Antona and I. Mazzitelli, Astrophys. J., Suppl. Ser. 90, 467 (1994).

    Article  ADS  Google Scholar 

  10. A. V. Fedorova, Nauchn. Inform. Astron. Sovet Akad. Nauk SSSR 42, 3 (1978).

    Google Scholar 

  11. A. V. Fedorova and S. I. Blinnikova, Nauchn. Inform. Astron. Sovet Akad. Nauk SSSR 42, 75 (1978).

    ADS  Google Scholar 

  12. A. V. Fedorova and S. I. Blinnikova, Nauchn. Inform. Astron. Sovet Akad. Nauk SSSR 42, 95 (1978).

    ADS  Google Scholar 

  13. A. Burrows and J. Liebert, Rev. Mod. Phys. 65, 301 (1993).

    Article  ADS  Google Scholar 

  14. G. Chabrier and I. Baraffe, Ann. Rev. Astron. Astrophys. 38, 337 (2000).

    Article  ADS  Google Scholar 

  15. L. A. Nelson, S. A. Rappaport, and P. C. Joss, Astrophys. J. 311, 226 (1986).

    Article  ADS  Google Scholar 

  16. G. Fontaine, H. Graboske and H. M. Van Horn, Astrophys. J., Suppl. Ser. 35, 293 (1977).

    Article  ADS  Google Scholar 

  17. G. Magni and I. Mazzitelli, Astron. Astrophys. 72, 134 (1979).

    ADS  Google Scholar 

  18. D. Mihalas, W. Dappen, and D. Hummer, Astrophys. J. 331, 815 (1988).

    Article  ADS  Google Scholar 

  19. V. A. Zakhozhai, A. I. Pisarenko, A. A. Yatsenko, et al., Kinematika Fiz. Nebesnykh Tel 15, 516 (1999).

    Google Scholar 

  20. L. D. Landau and E. M. Livshits, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980), p. 584.

    Google Scholar 

  21. G. S. Bisnovatyi-Kogan, Fizicheskie osnovy teorii zvezdnoi evolyuttsii (Physical Basis of the Theory of Stellar Evolution) Nauka, Moscow, 1989), p. 488 [in Russian].

    Google Scholar 

  22. A. A. Vedenov, Zh. Eksp. Teor. Fiz. 36, 641 (1959) [Sov. Phys. JETP 9, 446 (1959)].

    Google Scholar 

  23. M. Shwarzschild, Structure and Evolution of the Stars (Princeton University Press, Princeton, 1958; Inostranaya Literatura, Moscow, 1961), p. 424.

    Google Scholar 

  24. S. Chandrasekhar, An Introduction to the Study of Stellar Structure (Univ. of Chicago Press, Chicago, 1939; Inostrannaya Literatura, Moscow, 1950), p. 476.

    Google Scholar 

  25. V. A. Zakhozhai, A. I. Pisarenko, and A. A. Yatsenko, Kinematika Fiz. Nebesnykh Tel 15, 206 (1999).

    Google Scholar 

  26. A. Burrows, IAU Circ. 211, 393 (2003).

    ADS  Google Scholar 

  27. L. A. Nelson, S. A. Rappaport, and E. Chiang, Astrophys. J. 413, 364 (1993).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Astronomy, Kharkov National University, Sumskaya St. 35, Kharkov, 61022, Ukraine

    A. I. Pisarenko & V. A. Zakhozhay

  2. National Science Center “Kharkov Institute of Physics and Technology,”, Akademicheskaya St. 1, Kharkov, 61108, Ukraine

    A. A. Yatsenko

Authors
  1. A. I. Pisarenko
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  2. A. A. Yatsenko
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  3. V. A. Zakhozhay
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Additional information

Original Russian Text © A.I. Pisarenko, A.A. Yatsenko, V.A. Zakhozhai, 2007, published in Astronomicheskiĭ Zhurnal, 2007, Vol. 84, No. 8, pp. 675–684.

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Pisarenko, A.I., Yatsenko, A.A. & Zakhozhay, V.A. Evolution model for substellar objects. Astron. Rep. 51, 605–614 (2007). https://doi.org/10.1134/S106377290708001X

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  • DOI: https://doi.org/10.1134/S106377290708001X

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