缓和曲线坐标计算公式

点号里程XYA(计算方位角)ZH点（第一缓和曲线起点）997.43540958.02290499.838174.3236111HY点（圆曲线起点）1047.43540908.48290506.436YH点（圆曲线终点）1248.53540747.08690617.154HZ点（第二缓和曲线终点）1298.53540723.09790660.998116.7758333JD点（交点）1159.94640796.30890515.912T(切线长)R(曲线半径)α（转角值，右转为正，反之为负，必须以度为单位）α左转57.5477778ξ-1全部曲线长度缓和曲线长度外距301.15035.692缓和曲线坐标计算程序曲线要素：162.511250NNJDZHHYYHHZA1A2αXY40965.42190499.10340714.55890677.920缓和曲线上任一点里程L缓和曲线上任一点至ZH点的曲线长R曲线半径LS缓和曲线长X切线横距1047.43550.000250.00050.00049.950Xξ转角符号右转为正，左转为负Y-1缓和曲线上任一点里程L缓和曲线上任一点至HY点的曲线长R曲线半径1047.4350.000250.000Xξ转角符号右转为正，左转为负Y-1缓和曲线上任一点里程L缓和曲线上任一点至YH点的曲线长R曲线半径1248.5350.000250.000Xξ转角符号右转为正，左转为负Y-1缓和曲线上任一点里程L缓和曲线上任一点至HZ点的曲线长R曲线半径LS缓和曲线长X切线横距1248.53550.000250.00050.00049.950Xξ转角符号右转为正，左转为负Y-1缓和曲线坐标计算程序一、直线上中桩坐标计算二、设缓和曲线的单曲线上中桩坐标计算点号直线上任一点里程（L≤ZH）直线上任一点里程（L＞HZ）990.000L（任一点里程）1230.0003、圆曲线（YH—HY）内任意点坐标（由YH—HY时）缓和曲线上任一点坐标求解1、第一缓和曲线（ZH—HY）内任意点坐标X=XZH+x/COS(30L2/π/R/LS)*COS(A1+ξ30L2/π/R/LS)Y=YZH+x/COS(30L2/π/R/LS)*SIN(A1+ξ30L2/π/R/LS)40908.48290506.436X=XHY+2RSIN(90L/π/R)*COS(A1+ξ90(L+LS)/π/R40908.482Y=YHY+2RSIN(90L/π/R)*SIN(A1+ξ90(L+LS)/π/R90506.4362、圆曲线（HY—YH）内任意点坐标（由HY—YH时）圆曲线上任一点坐标求解LS缓和曲线长50.000Y=YYH+2RSIN(90L/π/R)*SIN(A2+180-ξ90(L+LS)/π/R90617.1544、第二缓和曲线（HZ—YH）内任意点坐标圆曲线上任一点坐标求解LS缓和曲线长50.000X=XYH+2RSIN(90L/π/R)*COS(A2+180-ξ90(L+LS)/π/R40747.086缓和曲线上任一点坐标求解X=XHZ+x/COS(30L2/π/R/LS)*COS(A2+180-ξ30L2/π/R/LS)40747.086Y=YHZ+x/COS(30L2/π/R/LS)*SIN(A2+180-ξ30L2/π/R/LS)90617.154NNJDZHHYYHHZA1A2α