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Fourier analysis of the light curves of eclipsing variables, VIII

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Abstract

The main aim of this paper will be to develop explicit form of the moments of the light curvesA 2m(r 1,r 2,i) required for the solution for the geometrical elementsr 1,2 andi of eclipsing systems exhibiting annular eclipses (Sections 2 and 3), as well as partial eclipses (Section 4).

In the concluding Section 5 we shall demonstrate that — regardless of the type of eclipse and distribution of brightness on the apparent disc of the eclipsed star, or indeed of the shape of the eclipsing as well as eclipsed components — the momentsA 2m satisfy certain simple functional equations — a fact which relates them to other classes of functions previously studied in applied mathematics.

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References

  • Appell, P.: 1880,Ann. Ecole Normale, Paris, (2)9, 119.

    Google Scholar 

  • Kopal, Z.: 1947Harvard Obs. Circ., No. 450.

  • Kopal, Z.: 1959,Close Binary Systems, Chapman-Hall and John Wiley, London and New York.

    Google Scholar 

  • Kopal, Z.: 1975a,Astrophys. Space Sci. 34, 431 (Paper I).

    Google Scholar 

  • Kopal, Z.: 1975b,Astrophys. Space Sci. 35, 159 (Paper II).

    Google Scholar 

  • Kopal, Z.: 1975c,Astrophys. Space Sci. 35, 171 (Paper III).

    Google Scholar 

  • Kopal, Z.: 1975d,Astrophys. Space Sci. 36, 227 (Paper IV).

    Google Scholar 

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

    Google Scholar 

  • Kopal, Z., Markellos, V., and Niarchos, P.: 1976,Astrophys. Space Sci. 40, 183 (Paper VI).

    Google Scholar 

  • Truesdell, C.: 1948,A Unified Theory of Special Functions, (Ann. Math. Stud., No. 18), Princeton Univ. Press, Princeton, N.J.

    Google Scholar 

  • Tsesevich, V. P.: 1939,Bull. Astron. Inst. USSR Acad. Sci., No. 45.

  • Tsesevich, V. P.: 1940,Bull. Astron. Inst. USSR Acad. Sci., No. 50.

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Authors and Affiliations

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

    Zdeněk Kopal

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  1. Zdeněk Kopal
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Kopal, Z. Fourier analysis of the light curves of eclipsing variables, VIII. Astrophys Space Sci 40, 461–481 (1976). https://doi.org/10.1007/BF00640457

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  • DOI: https://doi.org/10.1007/BF00640457

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