I. A. Andronov, M. G. Tkachenko


We discuss methods for modeling eclipsing binary stars. There are few realizations of the Wilson- Devinney (1971) code and its improvements, e.g. “Binary Makef’, “Phoebe”. A parameter search using the Monte- Carlo method was realized by Zola et al. (2010), which is efficient in expense of too many evaluations of the test func­tion. We compare existing algorithms of minimization of multi-parametric functions. To study methods, we adopt a simplified model of an eclipsing binary at a circular orbit assuming spherical components with an uniform brightness distribution. This model resembles more advanced models in a sense of correlated parameter estimates due to a similar topology of the test function. Such a model may be applied to detached Algol-type systems, where the tidal distortion of components is negligible.

Ключові слова

variable stars; eclipsing binaries; algols; data analysis; time series analysis; parameter determination

Повний текст:



Anderson T.W.: 1958, An introduction to multivariate statistical analysis, New York. John Wiley & Sons,

Andronov I.L.: 1991, Structure and Evolution of Stars, v.1, (in Russ.), Odessa Inst. of Adv. Teachers, 84pp.

Andronov I.L. et al.: 2010, Odessa Astron. Publ., 23, 8. Andronov I.L.: 2012, Astrophys., 55, 536.

Andronov I.L., Tkachenko M.G.: 2013,,


Bradstreet D.H.: 2005, SASS, 24, 23.

Cherepashchuk A.M: 1992, Astron. Zh., 70, 1157. Kallrath J., Milone E.F.: 2009, Eclipsing Binary Stars: Modeling and Analysis, Springer, 428pp.

Kopal Z.: 1959, Close Binary Systems, J. Wiley and Sons, New York.

Korn G.A., Korn Th.M.: 1968, Mathematical Handbook for Scientists and Engineers. - McGraw-Hill Book Company, N.Y. et al.

Marquardt D.: 1963, SIAM J. Appl. Math. 11, 2. Parenago P.P., Kukarkin B.V.: 1936, Z. f. Astrophysik, 11, 337.

Pickering E.: 1881, Proc. Amer. Acad. Arts and Sciences 16, 257.

Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P.: 2007, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press.

Prsa A., Matijevic G., Latkovic O., Vilardell F., Wils P.: 2011, Astrophysics Source Code Library, record ascl: 1106.002, 2011ascl.soft06002P

Rucinski S.: 2010, AIP Conference Proceedings, 1314, 29.

Shul'berg A. M.: 1971, Close Binary Systems with Spherical Components, Moskva: Nauka, 246 pp., ...S

Tsessevich V.P.: 1971, Eclipsing Variable Stars, Moscow, Nauka

Vavilova I.B.: 2012, Kinem. Phys. Celest. Bodies, 28, 85, 2012 KPCB, 28, 85V

Wilson R.E.: 1979, ApJ, 234, 1054.

Wilson R.E.: 1994, PASP, 106, 921.

Wilson R.E., Devinney E.J.: 1971, ApJ, 166, 605.

Zola S., Gazeas K., Kreiner J.M. et al.: 2010, MNRAS, 408, 464.


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