Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..35..159k&link_type=abstract
Astrophysics and Space Science, vol. 35, June 1975, p. 159-183.
Astronomy and Astrophysics
Astrophysics
44
Eclipsing Binary Stars, Fourier Analysis, Light Curve, Stellar Luminosity, Variable Stars, Limb Darkening, Luminous Intensity, Radial Distribution, Stellar Occultation
Scientific paper
The Fourier methods for analyzing the light curves of eclipsing binaries are extended to systems whose components exhibit disks characterized by an arbitrary radially symmetric brightness distribution. Fundamental equations are constructed which govern the light changes arising from mutual eclipses of limb-darkened stars as well as from transit eclipses terminating in annular phase, which causes the light to vary continuously during this phase. A closed algebraic solution is obtained for the elements of occultation eclipses terminating in total phase and is found to be no more complicated than that for uniformly bright disks. Light changes arising in the course of partial and annular phases of transit eclipses are analyzed, and it is found that the moments of light curves can be expressed in terms of the geometric elements of the eclipses in a closed form similar to that for limb darkening.
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