基于太阳影长模型的定位技术研究  

The research of positioning technology based on the model of sun's shade length

作　　者：程飞阳 袁宏俊[2] 张咪[1] 

机构地区：[1]安徽财经大学金融学院,安徽蚌埠233030 [2]安徽财经大学统计与应用数学学院,安徽蚌埠233030

出　　处：《宁德师范学院学报（自然科学版）》2017年第2期134-139,共6页Journal of Ningde Normal University(Natural Science)

基　　金：国家社科基金青年项目(13CTJ006);安徽财经大学教学研究项目(acjyyb2015111)

摘　　要：对太阳影子长度变化规律进行研究,首先,结合太阳高度角公式中直杆长度、太阳影长、太阳高度角三者之间的平面几何关系,建立联立方程组模型求解太阳影长并绘制太阳影长变化曲线.然后,分析模型中各参数对太阳影长的影响机制,并进行灵敏度分析.最后,将太阳影长模型推广应用到定位技术上,在实际问题的解决中运用LINGO解方程组并得到较为理想的结果.The study aims at the changing rules of the length of the sun＇s shade. Firstly, combined with the plane geometry relations among the straight rod length, the shade length and the angle of the sun in the formula of the sun＇s angles, the Maflab model is set up to figure out the length of the sun＇s shadow and graph the curve fitting the length change of it. Then, an analysis is made on the effect mechanism of the parameters in the models to the sun＇s shadow length; and on the sensitivity as well. Finally, the sun long shadow model is applied to the positioning technology. Ideal results are obtained in solving practical problems by using LINGO solutions of equations.

关 键 词：太阳高度角 平面几何 灵敏度分析 太阳影长定位 MATLAB LINGO 

分 类 号：O185.1[理学—数学]