摘要
该文研究了利用太阳影子进行定位的正演和反演问题。基于太阳下直杆影子长度的变化,利用球面三角函数,建立了影长与日期、时间、经度、纬度、太阳高度角的关系模型,并对此模型进行反演,得到了已知影长变化求解时空定量的方法;并采用定值匹配搜索与最小二乘拟合两种不同算法进行了对比检验,并对此数学模型进行了基于大气折射的误差分析及修正。
The problem of forward and inversion of location methods with sun shadow are studied in this paper. Based on the change of shadow length, by using spherical triangle function, a relational model between shadow length with data, time, longitude, latitude and solar zenith angle is established. And then using this expression to carry out inversion, specific time and testing place can be got by the shadow length change. In the time and space location, two different methods are compared by using the matching search and the least square, respectively. Finally, the error analysis and correction based on the atmospheric refraction are isproposed.
出处
《实验科学与技术》
2017年第1期39-42,49,共5页
Experiment Science and Technology
基金
四川省科技支撑计划项目(M110474012015GZ0002)
电子科技大学教改项目(2015XBJX0041
2016XJYYB037)
高等学校大学数学教学研究与发展中心项目(CMC20160403)
关键词
最小二乘拟合
匹配搜索
太阳影子定位
太阳高度角
least squares fitting
matching search
sun shadow positioning
solar elevation
