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1、声明： 以下内容均是本人原创翻译，绝无抄袭，可放心使用。本人系英语翻译专业研究生硕士毕业，手持英语专业八级和四级证书,全国外语翻译证书以及剑桥商务英语证书；曾供职于外企长达三年，现成为译员近四年，笔译实践量超570万字，累计服务过4800位客户以及300多家公司团体。 本人还可提供外文文献或者英语论文翻译以及文字图片或pdf转word格式的服务，有英语作业不愿做的或者论文不愿写的，+扣扣(q，q):五一三二七九五九三(五一三二七九五九三是数字)。无账号下载本文档的，可，+微信号：jpd八八零三一五（八八零三一五是数字）。Star Point Energy Center Correction o
2、f Star Simulator Based on Polar Coordinates 基于极坐标的星模拟器星点能量中心修正的研究Abstract ： In this paper, various aberrations have been analyzed. Not only the effects of aberration on geometrical center position are taken into account, but also the deviation of displayed star position energy center caused by aberr
3、ation is analyzed. These two aspects have been taken into comprehensive evaluation and star position correction. The correction method based on polar coordinates is proposed, and cumbersome partition correction and calculated quantity based on two-dimensional coordinates can be simplified. The exper
4、imental results show that the correction processing based on polar coordinates is simpler and easier compared with any other correction methods. In addition,the correction results are significantly more accurate.摘要：本文分析了许多不同的像差。不仅考虑到了几何中心位置像差的影响还分析了像差对显示星点能量中心位置造成的偏差。对这两个方面进行了综合评估以及星点的修正。提出了一种基于极坐标的
5、星点位置修正方法，该方法简化了基于二维坐标轴分区修正的过程，减少了数据计算量.实验结果表明极坐标修正过程较以往修正方法简单快捷，且修正结果更加准确.Key words Aberration, Energy center, Correction, Polar coordinates关键词： 像差， 能量中心，修正，极坐标 Introduction引言The calibration of star sensor is the main function of star simulator. However, with the development of star sensor and star
6、simulator technology, the high requirements of specifications and accuracy have become the key of designing and manufacturing of starsimulator.星敏感器的校准作用是星模拟器的主要功能。然而，随着星敏感器和星模拟器技术的发展，对规格和准确性的高要求变成了星模拟器设计和制造的关键部分。For previous star simulator, except for the requirement of hardware with high accuracy,
7、the improvement of correction and operating rate based on software is indispensable. But the correction of optial system aberration still relies on theodolite testing with human eyes, by recording the experimental data and correcting the data to realize the correction,or just correcting the displaye
8、d geometrical center of star point caused饰distortion. Only the influence of distortion on geometrical center can be corrected and the energy center deviation caused by other aberrations is neglected, while the star sensor recognizes the star point by recognizing the energy center. Simultaneously, th
9、e former correction regards the image plane as a two-dimensional surface, and realizes the correction establishing two-dimensional coor-dinates, and separating the regions of coordinates system according to different positions in correction.But the optical system of star simulator is coaxial system
10、completely composed of spherical lens, and the aberration in the same field of view through the free directions of optical system is rotationally symmetric surrounding the optical system. The correction appears to be complicated under separated regions according to the two-dimensional system.对于星模拟器,
11、 除了高精度的硬件要求, 软件修正及运算速度的提升也必不可少.但现有研究对于光学系统像差的修正只停留在通过人眼使用经纬仪进行测试的阶段, 记录实验数据后, 对数据进行处理修正, 或者只对畸变造成的星点显示几何中心位置误差进行修正, 这样只是修正了畸变对几何中心的影响, 忽略了其他像差对能量中心造成的偏移, 而星敏感器对于星点的识别往往是对能量中心的识别.同时以往的修正方法只是将像面看作是一个二维平面, 修正时建立一个二维坐标系, 根据不同的位置进行分区， 但星模光学系统完全是由球面镜组成的共轴光学系统, 通过系统光轴的任意方向上相同视场的像差绕着光轴旋转对称, 使得在二维坐标下分区的方法略为繁
12、琐. On the basis of the summaries of the former star point error correction, taking a star simulator with 220 field of view as example, a new correction method is proposed in this paper, and the method to ensure the position of energy center by analyzing the point distribution function of optical sys
13、tem and correcting the error based on polar coordinates is also proposed.在总结以往的星点误差修正方法的基础上, 本文以22 视场星模为例, 提出了一种通过分析光学系统的点分布函数来确定能量中心位置, 并在极坐标系上进行修正的方法.1 Working Principle of Star Simulator and Aberration Analysis1.1 Working Principle of Star Simulator1 星模拟器工作原理及像差分析1.1 星模拟器工作原理As the calibration de
14、vice of star sensor, the star simulator provides infinity star simulation for star sensor,and realizes the star point display by the displaying device. While the emergent rays of star point passing through the collimation optical system, they will be parallel and image at the entrance pupil of star
15、sensor, which finally fulfill the simulation of infinity star point, as shown in Figure 1.星模拟器作为星敏感器的模拟测试设备, 为星敏提供无穷远星点的模拟, 其模拟过程是通过显示器件来完成. 星图经过准直光学系统成平行光出射, 在星敏感器的入瞳处成像, 由此完成对无穷远星图的模拟, 如图1.1.2 Aberration Analysis1.2 像差分析The aberration of optical system is divided into monochromatic aberration and
16、chromatic aberration.The monochromatic aberration includes spherical aberration, coma, astigmatism, field curvature and distortion, while the chromatic aberration includes光学系统的像差分为单色像差和色差, 其中单色像差分为球差, 慧差, 像散, 场曲和畸变, 而色差包括Fig. 1 Interrelation of star simulator compositions axial chromatic aberration and lateral chromatic aberration. Due to the existence of various aberrations in collimation optical system,
