贝塞尔大地主题正反算及其编程.doc

存档日期： 存档编号： 江苏师范大学科文学院 本科生毕业设计（论文） 论 文 题 目： 贝塞尔大地主题正反算及程序设计 姓 名： 姚瑶 系 别： 环境与测绘系 专 业： 测绘工程 年 级 、 学 号： 08测绘 、 088324135 指 导 教 师： 石双忠 江苏师范大学科文学院教务部印制 摘要 在大地测量计算过程中，大地主题解算计算繁琐复杂，手工计算易于出错，而且费时费力。随着计算机技术的高速发展，计算机计算的速度快、准确度高、计算机语言的丰富、编程可视化等优点为我们将复杂烦琐的计算过程简单、简洁、高效化带来了契机。为了便于工程计算，本课题着眼于研究借助计算机及其编程语言MATLAB来实现大地主题解算问题。 大地主题解算方法，主要有高斯平均引数法、勒让德级数法、贝塞尔法。前两种方法受到大地线长度的制约，随着大地线两端点的距离加大，其解算精度明显降低。而贝塞尔法具有不受大地线长度制约的优点，解算精度最大不超过5毫米，是大地主题解算方法中解算精度最高的一种。因此，本文就以贝塞尔法为研究对象，开发贝塞尔大地主题解算小程序。 关键词：贝塞尔大地主题正反算，程序设计 Abstract In Geodetic computation process, the solution of geodetic problem computational complexity of manual calculation, error prone, and took the time and trouble. With the rapid development of computer technology, computational speed, high accuracy, computer language, the advantages of rich programming visualization for we will complex complicated calculating process is simple, concise, efficient change brings opportunity. For the convenience of engineering calculation, this paper focus on the research of have the aid of computer and programming language MATLAB to realize the geodetic problem solving. Solution of geodetic problem method, mainly Gauss average argument method, Legendre series expansion method, Bessel method. The former two methods by geodesic length constraints, along with the line ends point distance increase, the calculation precision significantly reduced. Bessel law is not affected by the advantages of geodesic length restriction, calculation accuracy of less than 5mm, is the theme of the earth solution method of calculating precision is highest kind. Therefore, this article on Bessel law as the object of study, the development of Bessel solution of geodetic problem of small procedures. Key words：Direct and inverse solution of geodetic problem，The designin