Improving the Eclipse Mapping Method

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Methods: Numerical - Techniques: Image Processing - Eclipses - Binaries: Close - Novae, Cataclysmic Variables

Scientific paper

An extensive study aiming to improve knowledge on the eclipse mapping method and its internal characteristics is presented. We introduce a new consistency statistic to measure the correlation between residuals and fluxes in the modeled light curves of eclipsing cataclysmic variables. The new statistic is more robust and efficient than the T′-statistic proposed earlier by Baptista & Steiner (1991, Paper I).
Synthetic data are used to study the effects on reconstructions and to identify appropriated ranges for user-selected parameters. The analysis and comparison between distinct reconstructions is made in a quantitative way.
An alternative algorithm is proposed, which does not require a selection for the χ2 constraint, and is very useful for the cases where the estimated data errors are uncertain. We compare the performance of this algorithm with reconstructions made only with χ2 as the constraint function, and with the alternative of χ2 and T′ as proposed in Paper I.
A simple relation between the intensities in the reconstructed maps and the corresponding uncertainties as a function of the signal-to-noise ratio in the input light curve is also presented.

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