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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| Veröffentlicht in: | Astrophysics 2017-03, Vol.60 (1), p.57-69 |
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| container_title | Astrophysics |
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| creator | Andronov, I. L. Tkachenko, M. G. Chinarova, L. L. |
| description | 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. |
| doi_str_mv | 10.1007/s10511-017-9462-0 |
| format | Article |
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| 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 |
| title | Comparative Analysis of Phenomenological Approximations for the Light Curves of Eclipsing Binary Stars with Additional Parameters |
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