地日运动的C~1R~2P~2机构重演及其应用于向日计算

发布时间：2017-12-31 14:39

本文关键词：地日运动的C~1R~2P~2机构重演及其应用于向日计算　出处：《机床与液压》2016年05期 　论文类型：期刊论文

【摘要】：通过将自由系统等效变换为非自由系统的思想,可以利用机构学方法实现天文运动关系的可视化表达。提出一套假想C~1R~2P~2串联机构作为地日运动的相当系统,以5个运动副(1个圆柱副,2个转动副和2个移动副)来耦合地球对日运动。通过对黄赤交角和黄道椭圆轨道等约束条件的满足,该机构可重演地球任意点的对日运动。同时,利用D-H参数法,在机构的运动空间中建立了日心和地球位点的时间-空间方程。把此方程应用到太阳定向上,推导出由时间及经纬度表出的太阳方向公式。将Michalsky算法中太阳高度角和方位角计算公式以及王炳忠太阳赤纬计算公式作为参考,给出传统太阳矢量公式。最后通过3个实例,将得出的两组太阳方向向量进行对比,并计算出对应的误差。结果表明:该机构和由机构正向运动学导出的太阳方向公式是正确的。此外,对地日运动的更高精度修正,可通过调整或增加运动副来层次化重演。该研究方法可为天文运动学研究提供一种形象手段,以更好地理解运动关系。
[Abstract]:The idea of transforming the free system into a non-free system is presented. The mechanism method can be used to realize the visual expression of astronomical motion relationship. A set of hypothetical Cn1RX 2PU 2 series mechanism is proposed as equivalent system of ground and sun motion, with 5 motion pairs (1 cylindrical pair). Two rotating pairs and two moving pairs) are used to couple the Earth's motion to the sun. By satisfying the constraints such as the yellow red angle and the ecliptic elliptical orbit, the mechanism can repeat the motion of the Earth at any point in the sun. At the same time. By using D-H parameter method, the time-space equations of heliocentric and earth sites in the motion space of the mechanism are established and applied to the solar orientation. The formula of solar direction is derived from time, longitude and latitude. The calculation formula of solar height angle and azimuth angle in Michalsky algorithm and the formula of Wang Bingzhong sun's red latitude calculation are taken as reference. The traditional formula of solar vector is given. Finally, through three examples, the two groups of solar direction vectors are compared. The corresponding errors are calculated. The results show that the formula of solar direction derived from forward kinematics of the mechanism is correct. In addition, the higher accuracy correction of the earth and sun motion is obtained. This research method can provide an image means for astronomical kinematics research in order to better understand the relationship of motion.
【作者单位】：中国民航大学机场学院;中国民航航空地面特种设备研究基地;中国民航大学航空自动化学院;
【基金】：国家自然科学基金委员会与中国民航局联合资助项目(U1233106) 中央高校基本科研业务费专项资金资助项目(ZXH2012H007) 中国民航大学校级科研项目(2012KYE05)
【分类号】：P128.1;P134
【正文快照】： 0前言利用太阳方向进行定位是人类所进行的最早的定位方式之一,15世纪以来世界上陆续出现了各种各样的定位仪器和定位方法,如18世纪的六分仪和天文钟以及近年来的太阳追踪装置[1-2]。与太阳能相关文献里有很多关于太阳位置计算的重要公式,也有很多文章中对多种计算方法进行了

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