Comparative Analysis of Phenomenological Approximations for the Light Curves of Eclipsing Binary Stars with Additional Parameters

A comparative analysis is made of special profiles of eclipses used for phenomenological modelling of the light curves of eclipsing binary stars. Families of functions which generalize local approximations and functions which are theoretically unlimited in width and based on a Gaussian are examined....

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Bibliographic Details
Published in:Astrophysics 2017-03, Vol.60 (1), p.57-69
Main Authors: Andronov, I. L., Tkachenko, M. G., Chinarova, L. L.
Format: Article
Language:English
Subjects:
Algol
Approximation
Astronomy
Astrophysics and Astroparticles
Astrophysics and Cosmology
Binary stars
Deviation
Eclipsing binary stars
Light curves
Mathematical analysis
Mathematical models
Natural history
Observations
Observations and Techniques
Parameter modification
Parameters
Physics
Physics and Astronomy
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
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Summary:A comparative analysis is made of special profiles of eclipses used for phenomenological modelling of the light curves of eclipsing binary stars. Families of functions which generalize local approximations and functions which are theoretically unlimited in width and based on a Gaussian are examined. The light curve of the classical Algol subtype (β Persei) star V0882 Car=2MASS J11080308-6145589 is used for the analysis. Dozens of modified functions with additional parameters are analyzed and 14 of these are chosen based on the criterion of a minimum sum of the squares of the deviations. The best are functions with an additional parameter which describe a profile that which is limited in phase.
ISSN:0571-7256
1573-8191
DOI:10.1007/s10511-017-9462-0