法线式直线方程在圆曲线测设中的应用  

Application of Normal Linear Equation in Measuringand Setting of the Circular Curve

作　　者：杨旭江[1] 张养安[1] 程新民 

机构地区：[1]杨凌职业技术学院,陕西杨凌712100 [2]西北综合勘察设计研究院,陕西西安710003

出　　处：《北京测绘》2012年第2期44-46,34,共4页Beijing Surveying and Mapping

摘　　要：圆曲线的详细测设是先计算出圆曲线一定间隔的各中桩的坐标,然后通过全站仪极坐标放样的方法在实地放出各中桩的位置。本文通过建立圆曲线两切线的法线式直线方程,并以此推求出过圆心平行切线的两平移直线的法线式直线方程,进而通过解方程组求得圆心坐标,同时求出圆心到圆曲线上任意点的距离和坐标方位角,然后按照坐标正算的方法求得各中桩的坐标。Detailed survey and design of circular curve is to calculate the circular curve in a certain interval of the coordinates of the pile,and then through the total station polar setting method in the field to calculate the pile position.This two tangent circular curve through the establishment of the normal linear equations,and thus is used to caloulate the center parallel to the tangent line of the normal two-shift linear equation,then the solution of equations are obtained by the center coordinates,and the center of the circle to the circle distance from any point on the curve and the coordinates of azimuth are acquired,then the coordinates are calculated according to the method obtained the coordinates of the pile.

关 键 词：法线式直线方程 坐标方位角 圆曲线 圆曲线主点 中桩 

分 类 号：P258[天文地球—测绘科学与技术]