中性大气折射映射函数和大气折射母函数方法

严 豪 健

(中国科学院上海天文台 上海 200030)

(中国科学院国家天文观测中心 北京 100012)

摘   要

回顾了作为实用天文学和大地测量学中基本研究课题之一的大气折射映射函数 研究的最新进展; 介绍了近几年发展的大气折射母函数方法。对如今广泛地应用在空间测量技术中的几种映射函数, 如CfA2.2、MTT等模型作出评述;特别分析了NMF模型的优点和不足之处。还介绍了由大气折射母函 数方法引出的大气延迟新连分式映射函数和天文大气折射的映射函数方法。利用VLBI实验中高度截 止角与基线长度变化的关系和探空气球(radiosonde)观测资料,比较了在射电波段上各个大气折射 映射函数的精度。还特别指出了映射函数方法对天文大气折射精度的改进。母函数方法建立的新连 分式映射函数不仅有很高的理论精度和更低的高度观测角,并且可以应用到光学波段中。相比于原 来的公式,在低高度角的观测精度上可能有一定的提高。结合当前高精度空间测量的发展要求,还 分析了大气折射映射函数研究中的主要问题和今后可能的发展方向。

The Mapping Function and the Generator Function Theory of Neutral Atmospheric Refraction

Yan Haojian

(Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030)

(National Astronomical Observatory, Chinese Academy of Sciences, Beijing 100012)

Abstract

As the basic research problems in practical astronomy and geodesy, we review the recent progresses in the mapping function of atmospheric refraction, and sketch the new generator function method of refractive delay and astronomical refraction. Several mapping function models used widely in modern space techniques today, such as CfA2.2, MTT and especially NMF, are discussed. From the generator function theory, the introduced new continued fractions of the mapping function for both refractive delay and signal bending are summarized. Comparisons among different mapping functions routinely used in practical astronomy and geodesy are given, associated with VLBI cut-off tests and radiosonde data. The new mapping functions obtained from the generator function method ensure higher theoretical accuracy of refractive delay for a lower observation and wider elevation coverage at radio and optical frequencies. The advantage and disadvantage of NMF model have been analyzed theoretically and practically by numerical integrals of radiosonde data. The main problems and the future developments of the mapping function in atmospheric refraction have described as the conclusion of this paper.

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