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Fourier techniques for an analysis of eclipsing binary light curves: III

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Abstract

The aim of the present paper will be to present a new approach to the light changes of eclipsing binary systems. The light changes have been expanded into the Fourier-Bessel and Dini series. The coefficients of these expansions which are the Hankel transforms of the order μ of the loss of light (1−l) have been expressed in terms of the eclipse elements. These discrete Hankel transformsH μ(j m ) andH μ(λ m ) valid for only the positive real zerosj m andλ m of the functionsJ λ and [xJ′μ(x)+ϱJ μ(x)] have been generalized for any positive value of μ andy. Thus, these general expressions for the Hankel transforms of the light curves which are valid for all types of eclipses, for any arbitrary degree of the adopted limb-darkening law and, moreover, for any positive value of the free parameters μ andy, may be used for the solution of the elements of eclipsing binary systems.

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References

  • Abramowitz, and Stegun, I. (eds.): 1964,Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. Appl. Math. Ser. 55, U.S. Govt. Printing Office, Washington, D.C.

    Google Scholar 

  • Budding, E. and Ardabili, Y. R.: 1978,Astrophys. Space Sci. 59, 19.

    Google Scholar 

  • Demircan, O.: 1977,Astrophys. Space Sci. 52, 189 (Paper XIII).

    Google Scholar 

  • Demircan, O.: 1978,Astrophys. Space Sci. 59, 313 (Paper XXI).

    Google Scholar 

  • Demircan, O.: 1979a,Astrophys. Space Sci. (in press).

  • Demircan, O.: 1979b,Astrophys. Space Sci. (in press).

  • Dini, U.: 1880,Serie di Fourier, Pisa.

  • Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G.: 1954,Tables of Integral Transforms, II, McGraw-Hill Publ. Co., New York.

    Google Scholar 

  • Kopal, Z.: 1975,Astrophys. Space Sci. 38, 191 (Paper V).

    Google Scholar 

  • Kopal, Z.: 1976,Astrophys. Space Sci. 45, 269 (Paper IX).

    Google Scholar 

  • Kopal, Z.: 1977a,Astrophys. Space Sci. 46, 87 (Paper X).

    Google Scholar 

  • Kopal, Z.: 1977b,Astrophys. Space Sci. 51, 439 (Paper XII).

    Google Scholar 

  • Lommel, E. C. J. von,: 1868,Studien über die Bessel'schen Functionen, Leipzig.

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Author notes

  1. Osman Demircan

    Present address: Dept. of Astronomy, Garyounis University, Benghazi, Libya

Authors and Affiliations

  1. Dept. of Astronomy, University of Manchester, England

    Osman Demircan

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  1. Osman Demircan
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Demircan, O. Fourier techniques for an analysis of eclipsing binary light curves: III. Astrophys Space Sci 62, 189–201 (1979). https://doi.org/10.1007/BF00643912

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  • DOI: https://doi.org/10.1007/BF00643912

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