Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ap%26ss..51..439k&link_type=abstract
Astrophysics and Space Science, vol. 51, no. 2, Oct. 1977, p. 439-460.
Astronomy and Astrophysics
Astrophysics
53
Eclipses, Fourier Analysis, Light Curve, Variable Stars, Distribution Moments, Hankel Functions, Hypergeometric Functions, Limb Darkening, Series Expansion, Stellar Occultation
Scientific paper
The fractional loss of light experienced during the eclipse of an arbitrarily darkened stellar disk is examined in terms of the parameters h and k (or their equivalents) for any type of eclipse and any degree of limb darkening of the eclipsed star. The expressions obtained are used to evaluate the corresponding moments of the light curves in the form of associated series that converge to the desired results. It is found that Appell's functions of the F4 type will play a prominent role in a mathematical description of the light changes in the frequency domain. Consideration is given to the cases of partial, total, and annular eclipses as well as occultations and transits.
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