论文部分内容阅读
本文对长度投影综合变形情况做了分析,针对东西向、非南北向的较长线路,其困难在于频繁换带,用传统的高斯投影方法,未能解决椭球面向平面映射的高斯投影变形,也未能扩大投影的宽度。鉴于此,曾有学者采用法截面子午线来建立斜轴椭球的方法,目的是通过建立法截面子午线椭球来减小测区与斜轴椭球中央子午线的距离。然而,所用理论略显复杂,会使得计算过程及相关参数计算变得繁琐甚至困难,也不便于相关软件的编制。因此,本文引入一种法截面子午线椭球高斯投影的方法,该方法计算更为简单。实验分析表明,该方法特别适合东西向、非南北向的长大线路工程,允许线路长度可达上千公里,并且计算流程思路清晰,数学模型简单,对线路工程测量具有借鉴作用。
In this paper, the comprehensive deformation of the length projection is analyzed. For the long, east-west and non-north-south routes, the difficulty lies in the frequent changeover. With the traditional Gaussian projection method, Gaussian projection deformation of the ellipsoid-oriented plane mapping can not be solved. Also failed to expand the width of the projection. In view of this, there have been scholars using the method of cross-sectional meridian to establish oblique axis ellipsoids, the purpose is to establish the cross-sectional meridian ellipsoid to reduce the measuring area and the inclined axis ellipsoid central meridian distance. However, the theory used is slightly complicated, which makes calculation of the calculation process and related parameters cumbersome or even difficult, and does not facilitate the preparation of related software. Therefore, this paper introduces a method of meridian projection of ellipsoid of meridian, which is easier to calculate. Experimental results show that this method is particularly suitable for long-distance line projects that are both east and west directions and non-north-south directions, allowing the length of the line up to thousands of kilometers. The calculation procedure is clear, the mathematical model is simple and can be used as a reference for line engineering measurement.