大气折射对大视场多目标光纤光谱观测的影响

大气折射从两个方面影响大视场多目标光纤光谱的观测：一是大气较差折射，二是由大气折射引起的大气色散．本文定量地分析了这些影响，给出其对一具有５°视场、位于北纬４０．４°的望远镜在不同纬度时影响的大小．     

大气折射对大视场多目标光纤光谱观测的影响

大气折射从两个方面影响大视场多目标光纤光谱的观测：一是大气较差折射，二是由大气折射引起的大气色散。本定量地分析了这些影响。给出其对一具有５°视场，位于北纬４０．４°的望远镜在不同纬度时影响的大小。     

天文大气折射的较差测量方法及试观测结果

受到大气折射的影响,天文观测上通常回避仰角15°以下的目标的观测,但作为大气折射的完整理论研究,低仰角下的大气折射仍然是值得分析探究的.特别是对某些工程应用方面,低仰角的目标有时必须要观测.提出了一套新的利用较差方法测定大气折射的思路.利用一台较大视场的望远镜从天顶开始,在不同高度上对星空作一系列观测,计算不同天顶距处大气折射函数的各阶导数,最后经数值积分可给出大气折射实测值.该方法不依赖于严格的地方参数和复杂精密的观测仪器,并且观测原理相对简单. 2007年底,利用一台简易的大视场望远镜在兴隆观测站进行了试验观测,根据较差方法实测得到真天顶距44.8°至87.5°的大气折射值,初步证明了大气折射较差测量方法的可行性.受到观测条件的限制,本次实测结果精度有限,偶然误差最大约为6",并且存在一定的系统差.在天顶距84°时,与普尔科沃大气折射表的差值约为15".如何消除因积分模型误差引入的累积误差是今后需要解决的关键问题.     

映射函数对天文大气折射的改进

本文利用大气折射积分母函数方法,分别给出在射电波段和光学波段上天文大气折射改正的映射函数,并完整地考虑了天文学和空间技术所需要的物理和地球物理因素引入的改正．本文还利用探空气球的资料分析了新天文大气折射改正公式的实际精度;计算结果证明：它在2°高度角时达到5”左右,而在5°高度角时约为1”．我们认为：限制计算精度的主要因素是真实地球大气分布与理论大气模型的区别．     

测定瞬时天文大气折射值和建立本地实测模型

利用天文大气折射在空间大地测量中的新用途,并指出,为了满足这一新用途的高要求,必须有一种有效的方法,能直接测定瞬时大气折射值,建立与观测站周围地理环境相适应的大气折射模型,再转换成中性大气折射延迟改正模型.文章简述了测定大气折射值必须满足的条件.阐述了云南天文台探讨出的利用低纬子午环的观测原理,在不同方向和不同天顶距直接测定瞬时大气折射值的一套方法,并给出了用实测数据在东,南、西,北4个方向建立的按恒星光谱型分类的大气折射实测模型.     

等效指数大气天文折射的改正公式

本文引入等效指数大气的概念以得到定量表征大气光学状态的参量——大气指数I,从而算出天文折射关于大气指数I的改正系数,并指出获得大气指数I值的方法。本文还导出包括大气指数I改正系数在内的全面的天文折射改正公式以及普遍适用于任何标准状态的五个改正系数公式,给出了各因素对天文折射的影响的比较。     

测定天文大气折射和建立电磁波折射延迟实测模型(Ⅵ)-瞬时大气折射值和折射率差的取得

根据测定天文大气折射的原理,叙述了利用相应的观测值获得瞬时大气折射测定值和建立大气折射实测模型的途径,并从各种测定值与最后结果之间的关系,指出了这里对数据处理的要求;文章介绍了对测定值进行波长改正和建立折射延迟实测模型的处理方法,分析了改正模型对天文大气折射测定值的分布要求,给出了观测数据随天顶距的增大而加密的分布模型。     

低纬子午环配备CCD探测器(Ⅲ)——几项球面天文修正

本文用投影椭圆的方法推导了子午方向的天顶距测定值应加的星径曲率改正、以及星过仪器卯酉方向的时刻和天顶距测定值的相应改正;还推导了子午方向观测中由于过任一天体的赤经圈投影与子午面之间夹角的变化对量度坐标x测定值的影响,所有这些都是由于转轴观测和星象偏离芯片相对中心引起的。文章还推导了视场中任一星象相对于芯片相对中心的大气折射和周年光行差较差改正。并给出了以//2(x′-x)和1/2(y′-y)为引数的改正公式,同时还得出,对于天顶距大于15°的观测,量度坐标x的大气折射较差改正可以忽略不计。     

关于天文大气折射的讨论

通过比较天文大气折射级数表达形式和映射函数表达形式,认为对于一个具体的大气折射模型而言,前者的计算精度不会低于后者,理论推导的级数表达式则因为作了不同的近似,使收敛性较差;经过分析大气折射映射函数的母函数方法,认为这种方法不能体现地球物理和大气物理的特性;通过比较指出,采用某地特定的大气分布所建立的大气折射模型,不是各地都适用的,也不能用来评价其他的大气折射模型;为了提高修正精度,关键问题在于采用有效的方法,在不同方位直接测定瞬时大气折射值,建立本地的随方位而异的大气折射实测模型.     

观测过程中较差大气折射引起的星象移动的计算和研究

本文给出了一种计算观测过程中较差大气折射引起的星象移动的方法，包括焦面最佳转动的确定．算法中除大气折射公式外，都是严格的．本文用这种方法详细计算了我国即将研制的大天区面积多目标光纤光谱望远镜（ＬＡＭＯＳＴ）中较差大气折射引起的星象移动，文中详细计算了望远镜安放在纬度４０．４°，观测天区－１０°δ＋９０°，天体过子午圈前后１．５小时，视场直径５°情况下，星象移动的结果，并得到星象的最大位移为０．８５９″，ＬＡＭＯＳＴ中光纤的直径是３．３″，光纤定位系统可不作校正．本文提出了实现焦面最佳转动的导星方法：在导星元件是ＣＣＤ的情况下，可任选一颗星来引导焦面旋转，只要使星象在ＣＣＤ靶面上作切向位移，其值等于按本文方法计算得到的值，若采用赤径、赤纬分角线方向（四个４５°方向）的星来引导旋转，也可近似地得到焦面的最佳转动．本文提出的算法和导星方法，可应用于任何天区，任意的观测时间和任何形式的焦面可旋转的望远镜．     

Impact of the atmospheric refraction on the precise astrometry with adaptive optics in infrared

We study the impact of the atmospheric differential chromatic refraction on the measurements and precision of relative astrometry. Specifically, we address the problem of measuring the separations of close pairs of binary stars with adaptive optics in the J and K bands.We investigate the influence of weather conditions, zenithal distance, star’s spectral type and observing wavelength on the astrometric precision and determine the accuracy of these parameters that is necessary to detect exoplanets with existing and planned large ground based telescopes with adaptive optics facilities. The analytical formulae for simple monochromatic refraction and a full approach, as well as moderately simplified procedure, are used to compute refraction corrections under a variety of observing conditions.It is shown that the atmospheric refraction must be taken into account in astrometric studies but the full procedure is not necessary in many cases. Requirements for achieving a certain astrometric precision are specified.     

The Method of Differential Measurement of Astronomical Refraction and Results of Trial Observations

Because of the influence of atmospheric refraction the astronomical observations of the objects with the angles of elevation below 15° are generally avoided, but for the sake of the complete theoretical research the atmospheric refraction under the condition of lower angles of elevation is still worthy to be analyzed and explored. Especially for some engineering applications the objects with low angles of elevation must be observed sometimes. A new idea for determining atmospheric refraction by utilizing the differential method is proposed. A series of observations of the starry sky at different heights are carried out and by starting from the zenith with a telescope with larger field of view, the derivatives of various orders of atmospheric refraction function at different zenith distances are calculated and finally the actually observed values of atmospheric refraction can be found via numerical integration. The method does not depend upon the strict local parameters and complex precise observational instrumentation, and the observational principle is relatively simple. By the end of 2007 a simply constructed telescope with a larger field of view at Xinglong Observing Station was employed to carry out trial observations. The values of atmospheric refraction at the true zenith distances of 44.8° to 87.5° were obtained from the practical observations based on the differential method, and the feasibility of the method of differential measurement of atmospheric refraction was preliminarily justified. Being limited by the observational conditions, the accuracy of the observed result was limited, the maximal accidental error was about 6” and there existed certain systematic errors. The value of the difference between the result obtained at the zenith distance of 84° and that given in the Pulkovo atmospheric refraction table was about 15”. How to eliminate the cumulative error introduced due to the integration model error is the key problem which needs to be solved in future.     

Path Bending Correction for Refraction Delay of Electromagnetic Waves

Focusing on lowering the cut-off elevation in the neutral atmosphere refraction delay correction and on raising the accuracy of the correction, we derive the formulae for calculating the correction for the bending of the light path caused by atmospheric refraction. This is the sort of correction that is given after the principal term in theoretical models of neutral atmospheric refraction delay correction, but is often neglected because it is a small quantity. However, in practice, for a not too low elevation like 15°, this term reaches 1 cm order of magnitude and can not be neglected. Li Yan-xing et al. specially gave a derivation of this correction and a computational method by successive approximation and some calculated values. Yan Hao-jian also proposed a formula of direct calculation but his calculated result was more than 3 times smaller than that of Li Yan-xing, which shows that further study of this correction is called for. Here we give a simple, convenient and reliable formula for calculating the correction.     

实测大气折射值的新方法

简单评述了现有各种版本的大气折射表所依据的理论基础和编制方法，指出了实测大气折射值、建立随地形而异的实测大气折射模型的必要性和应具备的基本条件；在分析了长期以来不能直接测定大气折射值的原因后，介绍了一种在不同方向精确测定大气折射值和建立观测点大气折射模型的新方法，以及所依赖的观测仪器具备的特性，最后给出了用实测数据建立的本地大气折射模型。     

Determination of the Instantaneous Values of Astronomical Atmospheric Refraction and Local Observational Modeling

A new application of astronomical atmospheric refraction in space geodesy is utilized. It is pointed out that in order to meet the high needs of this new application there must be an effective method by means of which the instantaneous value of atmospheric refraction can be directly determined. An atmospheric refraction model fitting in the geographical environment surrounding the observing station is established and then transformed into the neutral atmospheric refraction delay correction model. In this article the necessary conditions for the determination of the value of atmospheric refraction are briefly described. A method for the direct determination of the values of instantaneous atmospheric refraction in various directions and at various zenith distances by taking advantage of the observational principle of the low latitude meridian circle, explored by the Yunnan Observatory, is expounded and the atmospheric refraction observational models built on the basis of stellar spectral type classification in the 4 directions of east, south, west and north and by making use of the observed data are given.     

On Astronomical Atmospheric Refraction

Through a comparison between the series expression and mapping function expression of the astronomical refraction, we believe that, as far as a specific atmospheric refraction model is concerned, the computational accuracy is not lower in the former than in the latter, and that the convergence is poorer in the theoretically derived series expression, because of the different approximations made. From an analysis of the method of generating function of the atmospheric refraction mapping function it is considered that this kind of method can not embody the characteristics of geophysics and atmospheric physics. It is pointed out from the comparison that the atmospheric refraction model which is constructed by adopting the specific atmospheric distribution of a certain place does not apply to all other places and cannot be used to evaluate the other atmospheric refraction models. For improving the correction accuracy the key lies in the adoption of an effective method by which the instantaneous refraction values at different positions are directly determined to construct a local, position-dependent model of atmospheric refraction observation.     

大气折射母函数方法、大气折射解析解和映射函数

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进展。介绍了近几年上海天文台发展的大气折射母函数方法 ,以及由此导出的大气折射解析解。对如今广泛地应用在空间测量技术中的几种映射函数做出评述 ;分析了NMF模型的优点和不足之处。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重复率的关系、探空气球 (radiosonde)观测资料、PRARE资料比较了各种映射函数的结果。特别指出了映射函数方法对天文大气折射和光学波段测距精度的改进。讨论了大气折射计算中的主要误差源。     

天文实测蒙气差的研究

建立在子午—卯酉交替观测原理基础上的低纬子午环（ＬｏｗＬａｔｉ－ｔｕｄｅＭｅｒｉｄｉａｎＣｉｒｃｌｅ）即将出厂投入调试及试运行阶段，进一步研究天文蒙气差修正将是低纬子午环进行高精度观测的重要保证之一。作为对天文蒙气差修正的初步研究，本文首先分析了影响天文蒙气差的主要气象因素，对蒙气差随各种条件的变化情况进行了讨论；在此基础上，推算了大气平面平行层模型以及同心球层模型下的蒙气差值，论述了蒙气差表的编制方法，进而对各种蒙气差理论公式计算所得的修正值进行了分析比较；针对理论计算蒙气差值精度的不足，本文着重阐述了利用低纬子午环（ＬＬＭＣ）进行大气蒙气差实测的方法、原理，较为详尽的说明传统的方法不能满足实测大气折射的要求，而低纬子午环由于自身一些新的特点，能够满足Ｔｅｌｅｋｉ所提出的四个要求；在此基础上推导了相应的计算公式并进一步探讨了实测大气等密度倾斜的方法，最后给出了相应的精度估计，就如何建立一个适合于观测点的实用的实测大气模型进行了探讨     

提高中性大气折射延迟改正精度的可能途径

针对空间大地测量技术对中性大气折射延迟改正精度的要求,阐述了折射延迟改正值应随测站和随方位而异的必要性．指出,在尚不能直接测定天文大气折射值的情况下,现有的各种改正模型对大气分布模型的依赖性,不能达到预期的精度和降低观测的截止角．根据云南天文台低纬子午环的特殊结构,和测定大气折射的实践,提出了提高折射延迟改正精度的新方法,即：利用各观测站不同方位从天顶附近直到低地平高度角的天文大气折射实测数据,求解得到折射率差和映射函数的参数,从而建立随测站和随方位而异的大气折射延迟改正模型．这一新方法的实施,将能在不需采用大气分布模型的情况下,把天顶延迟的改正精度提高到1 mm以内,低地平高度角的折射延迟改正精度提高到厘米级,并且把截止高度角压缩到5°以内．     

A Possible Means of Improving the Accuracy of Refraction Delay Correction of Neutral Atmosphere

The space geodetic technology requires an accurate model of correction of refraction delay by the neutral atmosphere that varies from one observing station to another, and from one azimuth to the next. It is pointed out that under the present condition the astronomical refraction can not yet be directly determined, any correction model because of its high dependence on the assumed atmospheric distribution, is incapable of achieving the required accuracy or of improving the cut-off altitude. In this paper, based on the special properties of the lower latitude meridian circle at Yunnan Observatory and our experience of determining atmospheric refraction therewith, a new method is proposed for improving the accuracy of refraction delay correction. Namely, the measured data of astronomical refraction of an observing station from near zenith to low altitudes in different azimuths are used to evaluate the refractivities and the parameters of the mapping functions, thereby establishing a model of atmospheric refraction delay correction that varies with the observing station and the azimuth. Since it is unnecessary for the new method to adopt any atmospheric distribution model, application of this new method will improve correction accuracy of refraction delay to better than 1mm at zenith and to centimeters at low altitudes, and improve the cut-off altitude to below 5 degrees.