Problems with twilight/supersky flat-field for wide-field robotic telescopes and the solution
Peng Wei, Zhaohui Shang, Bin Ma, Cheng Zhao, Yi Hu, and Qiang Liu

TL;DR
This paper investigates the challenges of using twilight and night sky images for flat-field correction in wide-field robotic telescopes, proposing an optimal method to mitigate gradient-induced errors and providing practical guidelines.
Contribution
It identifies the limitations of twilight sky flat-fields due to brightness gradients and introduces an effective correction method for wide-field telescopes, along with usage guidelines.
Findings
Gradient of 1% across the field-of-view when sky brightness is stable
Optimal correction method reduces errors to negligible levels
Guidelines for flat-fielding with twilight/night sky images
Abstract
Twilight/night sky images are often used for flat-fielding CCD images, but the brightness gradient in twilight/night sky causes problems of accurate flat-field correction in astronomical images for wide-field telescopes. Using data from the Antarctic Survey Telescope (AST3), we found that when the sky brightness gradient is minimum and stable, there is still a gradient of 1% across AST3's field-of-view of 4.3 square degrees. We tested various approaches to remove the varying gradients in individual flat-field images. Our final optimal method can reduce the spatially dependent errors caused by the gradient to the negligible level. We also suggest a guideline of flat-fielding using twilight/night sky images for wide-field robotic autonomous telescopes.
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