Fourier analysis of the light curves of eclipsing variables-XXV: Error analysis in the frequency-domain |
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| Authors: | Zdeněk Kopal |
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| Institution: | (1) Department 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 has been two-fold. In the first part (Sections 1–2), closed algebraic formulae will be set up furnishing the momentsA
 of the light curves of arbitrary index , and, due to arbitrary type of eclipses, in terms of the coefficientsa
 of Fourier cosine series obtained by least-squares fit to the given data; and the uncertainty of the momentsA
deduced from that of thea
's.In the second part (Sections 3–4) we shall establish the explicit forms of the lincar functions  r
1,2, (cosi) and L
1 for the variation of the respective elements expressible likewise in terms of the Fourier coefficientsa
. The probable errors of these elements can then be identified with those of the respective linear functions, and are obtainable from the same matrix of coefficients which furnished the most probable values of the elements. |
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| Keywords: | |
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