摘要
针对太阳影子定位问题,在合理假设的前提下,建立几何模型,分析影子长度关于各参数的变化规律,求得天安门广场在确定时间的直杆影长变化曲线.根据固定杆的影子顶点坐标确定地点及日期,通过建立非线性最小二乘的最优化模型,以直杆高度的方差最小为优化目标,以纬度、时角、太阳赤纬角、经度及方位角为分析变量,将地点求解问题转化为直杆高度求解问题,运用遍历法进行求解计算,从而得到较为合理的纬度及相应时间.
For the problem of sun shadow position,geometric models are established under a reasonable hypothesis. With these models,the author analyzes the variation regularity of the shadow length of the flag-pole on the Tiananmen square and finds out its variation curve in a fixed date. According to the apex coordinate of the shadow length variation curve,the author decides on the flag-pole position and the surveying date. The author also uses the nonlinear least square optimization model,with the least variance of the pole length as the optimization objective and with the latitude,hour angle,solar latitude angle,longitude as well as azimuth angle as the analytical variables,to apply the solution of the position to that of the vertical pole height and finally works out the problems with the traverse method.
出处
《洛阳师范学院学报》
2015年第11期13-18,共6页
Journal of Luoyang Normal University
关键词
非线性最小二乘模型
优化模型
二次曲线拟合
遍历法
nonlinear least square model
optimization model
two curve fitting
traverse method
video processing
