Influence of Digital Noise on Interpretation of a Transit Light Curve

Astronomy Reports - The algorithms often used for the interpretation of light curves, such as the frequently applied JKTEBOP algorithm, have limited accuracy, which causes rounding errors, and...     

Error estimates for parameters in inverse parametrical problems. Light-curve analysis for classical eclipsing binaries

Parameters and their error intervals numerically estimated for the observed light curve of the binary eclipsing system YZ Cas as well as for one-, two-, three-, and four-parameter functions, and the associated parameters and their error intervals numerically estimated. The error intervals are calculated using differential corrections method, Monte-Carlo simulations, and confidence areas. We study the error intervals and the reliability of the techniques used.     

Analysis of light curves of eclipsing systems with exoplanets: HD 189733

High-accuracy multicolor light curves of the binary system HD 189733, which contains an exoplanet, are analyzed. We have determined the radii of the star and the planet in the binary system, as well as the orbital inclination. The limb-darkening coefficients of the stellar disk were obtained in 10 filters in the wavelength interval λλ = 5500?10 500 Å. The uncertainties of the fitted parameters were estimated using the differential-correction and confidence-area methods. The wavelength dependence of the limb-darkening coefficients is compared to the corresponding theoretical function for a model thin stellar atmosphere. We confirm the wavelength dependence of the exoplanet’s radius found by Pont et al. (at the 1σ level). The exoplanet radius increases with decreasing wavelength, which seems to argue for the presence of an atmosphere around the planet.     

Exoplanet Transients: Possible Variations in the Limb-Darkening Coefficients of Eclipsed Stars at Short Time Intervals

Astronomy Reports - The interpretation of high-precision transit light curves of binary systems with exoplanets Kepler-5b, Kepler-6b, and Kepler-7b is performed for three different epochs. It has...     

Light curve analysis for eclipsing systems with exoplanets. The systems Kepler-5b,Kepler-6b,and Kepler-7b

High-accuracy light curves for the binaries with exoplanets Kepler-5b, Kepler-6b, and Kepler-7b have been analyzed. The radii of the stars and the planets and the orbital inclinations of the binaries are derived. Reliable estimates of the linear and quadratic limb-darkening coefficients and their confidence intervals (uncertainties) are presented.     

Estimation of parameter errors in inverse problems. Determining limb-darkening coefficients in classical eclipsing systems

The estimation of parameters and their errors is considered using the observed light curve of the eclipsing binary system YZ Cas as an example. The error intervals are calculated using the differential-correction and confidence-region methods. The error intervals and reliability of the methods are investigated, and the reliability of limb-darkening coefficients derived from the observed light curve analyzed. A new method for calculating parameter errors is proposed.     

Influence of Normalization Inaccuracy of Transit Light Curves on the Results of Their Interpretation

Astronomy Reports - Using the transit light curves of Kepler-5b, Kepler-6b, Kepler-7b, Kepler-8b as examples, we study the effect of the primary normalization errors regarding the observed transit...     

Solution of Kepler’s Equation with Machine Precision

Astronomy Reports - An algorithm for the numerical solution of Kepler’s equation with machine precision is presented. The convergence of the iterative sequence of Newton’s method is...     

Spots on the Surface of a Star: An Influence on the Estimates of Star–Exoplanet Binary System Parameters

Astronomy Reports - We developed an algorithm to model a light curve observed in a binary system that contains an exoplanet and a host star, on the surface of which there are spots. The spot-caused...     

Erratum to: Solution of Kepler’s Equation with Machine Precision

Astronomy Reports - An Erratum to this paper has been published: https://doi.org/10.1134/S1063772921330015