Computer Science – Numerical Analysis
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ap%26ss..59..443e&link_type=abstract
Astrophysics and Space Science, vol. 59, no. 2, Dec. 1978, p. 443-462.
Computer Science
Numerical Analysis
1
Eclipsing Binary Stars, Fourier Analysis, Hypergeometric Functions, Light Curve, Variable Stars, Frequency Distribution, Hankel Functions, Limb Darkening, Moments, Numerical Analysis, Orbital Elements
Scientific paper
The aim of the present paper will be to evaluate numerically Jacobian and other functions which have been discussed in more detail in a previous paper of this series (Edalati, 1978b, Paper XXII), and also choose the most convenient moments to obtain a good determination for the unknown eclipse parameters a and c0. More than 12 different pairs of g-functions for real values of m have been investigated numerically and diagrammatically. The behaviour of g-functions depends but very little on different combination of the moments, and related diagrams are approximately the same as g2 and g4 (Kopal and Demircan, 1978, Paper XIV). The behaviour of the vanishing Jacobian, arising from different pairs of g-functions for real values of m ~ 1 has been shown diagrammatically in terms of a and c0. Accordingly, we obtain the optimum combination of the moments (i.e., A6, A7, A8 and A9) in g-functions g7 and g8. It has been noted that the behaviour of the g-functions which depend on the combinations of the higher order moments (i.e., m ~ 5) have been ruled out, because the proportional error of the moments A2m increases with increasing values of real m. The automated method has been tested successfully on the light curve of RT Per (Mancuso et al., 1977; Edalati, 1978a). Finally, a comparison is given of the elements of RT Per arising from two different pairs of g-functions, i.e., g2, g4 (Edalati, I 978a) and g7, g8 for the light curves analysis
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