WFST Astrometric Calibration -- I. Modeling Global Geometric Distortion with Zernike Polynomials

Fuente: arXiv
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Main Authors: Yang, Chao, Fang, Min, Zheng, Xian Zhong, Li, Guoliang, Liu, Binyang, Lou, Zheng, Wan, Zhen, Zhang, Miaomiao, Sun, Tian-Rui, Fan, Lulu, Zhang, Xiaoling, Kong, Xu, Xue, Yongquan, Zhao, Wen, Li, Bin, Luo, Wentao, Li, Feng, Liu, Wei, Wang, Jian, Zhang, Hongfei, Liu, Hao, Zhu, Qinfeng, Wang, Hairen, Yao, Dazhi
Format: Preprint
Published: 2026
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_version_ 1866910033679220736
author Yang, Chao
Fang, Min
Zheng, Xian Zhong
Li, Guoliang
Liu, Binyang
Lou, Zheng
Wan, Zhen
Zhang, Miaomiao
Sun, Tian-Rui
Fan, Lulu
Zhang, Xiaoling
Kong, Xu
Xue, Yongquan
Zhao, Wen
Li, Bin
Luo, Wentao
Li, Feng
Liu, Wei
Wang, Jian
Zhang, Hongfei
Liu, Hao
Zhu, Qinfeng
Wang, Hairen
Yao, Dazhi
author_facet Yang, Chao
Fang, Min
Zheng, Xian Zhong
Li, Guoliang
Liu, Binyang
Lou, Zheng
Wan, Zhen
Zhang, Miaomiao
Sun, Tian-Rui
Fan, Lulu
Zhang, Xiaoling
Kong, Xu
Xue, Yongquan
Zhao, Wen
Li, Bin
Luo, Wentao
Li, Feng
Liu, Wei
Wang, Jian
Zhang, Hongfei
Liu, Hao
Zhu, Qinfeng
Wang, Hairen
Yao, Dazhi
contents Accurate modeling of geometric distortion is essential for precise astrometric calibration in wide-field imaging surveys. We present a self-calibration method based on Zernike polynomials, applied to imaging data from the Wide Field Survey Telescope (WFST). Our approach constructs a global geometric distortion (GD) model from the position offsets of stars in the WFST r-band relative to Gaia DR3, achieving a median systematic uncertainty of below 10 mas for individual exposures. The correspondence between Zernike polynomials and optical aberrations reveals that the global GD of WFST is dominated by coma, inherent to the optical design, while rapid variations are likely attributed to the atmospheric dispersion corrector. Applying this method to 82 exposures from a single night (20250218), we find that the relative positions of the WFST CCDs remain stable, with standard deviations of less than 0.1 pixel in translation and 1.8 arcsec in rotation. The corrected WFST astrometric system is thereby tied to the Gaia DR3 coordinate frame, with further refinements to be presented in future work.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22569
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle WFST Astrometric Calibration -- I. Modeling Global Geometric Distortion with Zernike Polynomials
Yang, Chao
Fang, Min
Zheng, Xian Zhong
Li, Guoliang
Liu, Binyang
Lou, Zheng
Wan, Zhen
Zhang, Miaomiao
Sun, Tian-Rui
Fan, Lulu
Zhang, Xiaoling
Kong, Xu
Xue, Yongquan
Zhao, Wen
Li, Bin
Luo, Wentao
Li, Feng
Liu, Wei
Wang, Jian
Zhang, Hongfei
Liu, Hao
Zhu, Qinfeng
Wang, Hairen
Yao, Dazhi
Instrumentation and Methods for Astrophysics
Accurate modeling of geometric distortion is essential for precise astrometric calibration in wide-field imaging surveys. We present a self-calibration method based on Zernike polynomials, applied to imaging data from the Wide Field Survey Telescope (WFST). Our approach constructs a global geometric distortion (GD) model from the position offsets of stars in the WFST r-band relative to Gaia DR3, achieving a median systematic uncertainty of below 10 mas for individual exposures. The correspondence between Zernike polynomials and optical aberrations reveals that the global GD of WFST is dominated by coma, inherent to the optical design, while rapid variations are likely attributed to the atmospheric dispersion corrector. Applying this method to 82 exposures from a single night (20250218), we find that the relative positions of the WFST CCDs remain stable, with standard deviations of less than 0.1 pixel in translation and 1.8 arcsec in rotation. The corrected WFST astrometric system is thereby tied to the Gaia DR3 coordinate frame, with further refinements to be presented in future work.
title WFST Astrometric Calibration -- I. Modeling Global Geometric Distortion with Zernike Polynomials
topic Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2602.22569