水准网按条件平差算例.docx

水准网按条件平差算例在图(9-5)所示水准网中，A,8两点高程及各观测高差和路线长度列于表(9T)中。表9-1观测号观测高差(m)路线长度(km)观测号观测高差(m)路线长D(km)已知高程(m)11.359150.657122.009161.0001H=35.00030.363271.650240.6402Hh=36.000试求：(1)6、6及P3点高程之最或然值;(2)、巴点间平差后高差的中误差。解：(1)列条件方程式,不符值以“mm”为单位。已知=7/=3,故r=7-3=4,其条件方程式为v1-v2+v5+7=O-v5-v6+v7-7=O-v3-v4+v6-3=Ov2+v4-v7-1=O(2)列函数式：F=x5=5+v5故Ei=I/1=f2=f-t=f=f(3)组成法方程式。O令每公里观测高差的权为1,按10=,将条件方程系数及其与权倒数之乘积填于表9-2中。2)由表9-2数字计算法方程系数,并组成法方程式：3-10-1-14-1-20-15-2-1-2-25ktl7吊,+-7ke-3kd-1表9二0-2条件方程系数表观测号abCdSfs,11112-11003-1-1-14-110051-10116-110071-1001-1-111观测号%1111121-1132-2-2-242-22511-11161-11722-210-311（4）法方程式的解算。1）解算法方程式在表9-3中进行.2） pw计算之检核。pw=-½-卜成=35.467由表9-3中解得pw=-35.47,两者完全一致，证明表中解算无误。（5）计算观测值改正数及平差值见表9-4。（6）计算斗八,6点高程最或然值。W=Wa+x,=36.359mHpi=Ha+x2=37.012mH=Hh+x=35.360m表9-3高斯-杜力特表格行的符号(a)S)(C)3)（卬）S(/)s,(三)E，(s')a3.00-1.000-1.007.008.008.00I.002.002.00Ek00.33300.333-2.333-2.667-2.667-O.333-0.667-0.667b0.4414.00-1.00-2.00-7.00-7.00-7.00-1.00-1.00-1.00b3.67-1.00-2.33-4.67-4.33-4.33-0.67-0.33-0.33Eb0.2720.6351.272I.1791.1800.1830.0900.090C=3.3505.00-2.00-3.00-1.00-1.0002.002.00cl4.73-2.63-4.27-2.17-2.18-0.181.921.91E2k,0.5560.9030.4590.4590.038-0.406-0.407d-2.1995.00-1.00-1.00-1.00000d31.72-4.01-2.29-2.29-O.191.531.52E3k,2.3311.3311.3310.1100.8900.884W=2.3310-4.00-4.001.001.001.00>v4-35.47-35.470.520.51收9-4改正数与平差值计算表观测号abCd17aktlb%,CkCdk,V(mm)h(mm)平差值X（m）-0.443.352.202.33111-0.44-0.441.3591.3592-1110.442.332.772.0092.0123-12-2.20-4.420.3630.3594-112-2.202.330.260.6400.64051-11-0.44-3.35-3.790.6570.6536-111-3.352.20-1.151.0000.99971-123.35-2.332.041.6501.652（7）精度评定。D单位权（每公里观测高差）中误差2）匕八点间平差后高差中误差=±3.V.52=+2.2mm