平差课程设计..docx

误差理论与测量平差实习报告班级:滨江2013级测绘工程组别：第一组组长：杜迎，范璐（副）组员：任蔚，单煜，戴展鹏，欧宇杰，于纹鉴，高英杰本题n=17，有17给误差方程，其中14个角度误差方程，3个边长误差方程，必要观测数t=2*4+6=14,现取定带定点坐标和测站定向角为参数，即X=[ X3 Y3 X4 Y4 X5 Y5 X6 Y6 Z1 Z2 Z3 Z4 Z5 Z6]一．求待定点坐标值：1.计算近似坐标近似坐标通过已知坐标点1 2, 和观测方位角和方向观测值求近似坐标和近似边长。已知坐标点 X1=121088.500; Y1=259894.000; X2=127990.100; Y2=255874.600;方向观测值 L1=72+10/60+28.4/3600=72.1746; L2=66+27/60+28.9/3600=66.4580; L3=123+11/60+34.1/3600=123.1928; L4=85+13/60+37.4/3600=85.2271; L5=79+9/60+48.7/3600=79.1635; L6=72+24/60+56.4/3600=72.4157; L7=88+58/60+29.5/3600=88.9749; L8=132+23/60+35.2/3600=132.3931; 边长观测值s1=4451.417; s2=5564.592;s3=5569.269;方向角确定 f1=atand((Y2-Y1)/(X2-X1))+360=329.784; f2=f1-L2-180=83.326; f3=f2-L8+180=130.9329; f4=f3-L4=45.7058; f5=f4+180-L6=153.2901; f6=f5+180-L5=254.1266; f7=f6-L7-L3+180=221.9589;近似坐标求取x4=s2*cos(f2)+X2=128636.8171;y4=s2*sin(f2)+Y2=261401.4835;x6=s1*cos(f4)+x4=131745.4323;y6=s1*sin(f4)+y4=264587.645;x5=s3*cos(f5)+x6=126770.4392;y5=s3*sin(f5)+x6=267090.883;x3=125972.6859y3=264285.4008近似边长s13=sqrt((y3-Y1)^2+(x3-X1)^2)=6568.0798;s24=sqrt((y4-Y2)^2+(x4-X2)^2)=5564.5920;s46=sqrt((y6-y4)^2+(x6-x4)^2)=4451.417;s56=sqrt((y6-y5)^2+(x6-x5)^2)=5569.269;s35=sqrt((y5-y3)^2+(x5-x3)^2)=2916.7003;s43=sqrt((y4-y3)^2+(x4-x3)^2)=3926.13984;s2-s24=0s3-s56=0s1-s46=02.计算方位角改正数系数 (单位:分米）a=206264.8sin(f)/(s*10);b=-206264.8cos(f)/(s*10);a12=-1.2997 a21=1.2997b12=2.232 b21=-2.232a13=2.1 a31=-2.1b13=2.335 b31=-2.335a24=3.682 a42=-3.682b24=0.431 b42=-0.431a34=-3.969 a43=3.969b34=3.442 b43=-3.442a46=3.317 a64=-3.317b46=3.236 b64=-3.236a35=6.802 a53=-6.802b35=1.934 b53=-1.934a56=-1.665 a65=1.665b56=3.308 b65=-3.3083.确定角和边的权设单位权中误差σ0=1.2″，角度观测值的权为Pl=σ0^2/σl^2=1;导线边的权Ps=σ0^2/12=0.01 单位：秒平方比上毫米平方常数项边长误差方程的常数项l方向观测值（°）近似坐标方位角（°）α—L（°）—l=α—L—Z(″)120.0000329.784329.784-0.612372.174641.9589329.784340.612Z1329000083.32683.3260.054166.4580149.778483.32597-0.054Z283.325985310.0000221.9589221.95891.08488.9749310.9329221.95804-2.0165212.167774.12