Fourier analysis of the light curves of eclipsing variables,XII |
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Authors: | Zdeněk Kopal |
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Institution: | (1) Dept. of Astronomy, University of Manchester, England;(2) Present address: U. S. Naval Research Laboratory, Washington, D.C. |
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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 l
0 of arbitrarily limb-darkened stars in the form of Hankel transforms of zero order, in order to evaluate the explicit forms of the l
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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