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Fourier analysis of the light curves of eclipsing variables, XII

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Abstract

The aim of the present paper will be to make use of the expressions, established in Paper XI, for the fractional loss of light αl 0 of arbitrarily limb-darkened stars in the form of Hankel transforms of zero order, in order to evaluate the explicit forms of the αl 0's for different types of eclipses (Section 2), as well as of the momentsA 2mof the respective light curves (Section 3)-in a closed form; or in terms of expansions that converge under all circumstances envisaged. Particular attention will be directed to a connection between these expansions and other functions already available in tabular form; or to alternative forms amenable to automatic computation.

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Author notes

  1. Zdeněk Kopal (Guest Investigator)

    Present address: U. S. Naval Research Laboratory, Washington, D.C.

Authors and Affiliations

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

    Zdeněk Kopal (Guest Investigator)

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  1. Zdeněk Kopal
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Kopal, Z. Fourier analysis of the light curves of eclipsing variables, XII. Astrophys Space Sci 51, 439–460 (1977). https://doi.org/10.1007/BF00644165

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  • DOI: https://doi.org/10.1007/BF00644165

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