Photometric perturbations of distorted eclipsing systems within minima |
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| Authors: | Zdeněk Kopal |
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| Institution: | 1. Department of Astronomy, University of Manchester, England
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| Abstract: | The aim of the first part (Sections 1 and 2) of this paper will be to extend an analysis of the light curves of totally-eclipsing binary systems to the case in which the distortion of the shadow-cone of the eclipsing component must be taken account of in an analysis of the system's light changes within minima. Like in the case of total eclipses of spherical stars, an extension of the analysis of their light changes in the frequency-domain can likewise be carried out in a closed form, without a need to resort to automatic computers which may not be at the disposal of every investigator. In the second part (Sections 3 and 4) of this paper, the same procedure will be extended (albeit to a lesser degree of precision) toany type of eclipses—be these total, annular or partial; while a proof of the underlying formulae the reader will find collected in the Appendix. Again, in this more general case, while an access to automatic computers may be of advantage to incorporate the photometric perturbation arising from the distortion of the components mutually eclipsing each other, their use represents a convenience rather than necessity for our work. |
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