word文档误差理论与测量平差基础课程设计报告

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误差理论与测量平差基础课程设计第1页导线网平差计算——间接平差法计算待定点坐标平差值任务及精度要求某工程按城市测量规范(CJJ8-99)布设一、二级导线网作为平面控制网,主要技术要求为:平均边长200m,测角中误差8,导线全长相对闭合差10000/1,最弱点的点位中误差5cm。经过测量得到观测数据,方向和角度为等精度观测值、方向和测角中误差8,边长为光电测距、测距中误差为mmmSiSi)(8.0,根据所学的“误差理论与测量平差基础”提出一个最佳的平差方案,完成该网的平差计算,并写出课程设计报告。导线网资料1、已知点成果表点名坐标(m)编号已知坐标方位角°′″XYA11768.7148419.242A’-A2742334B10878.3028415.114B’-B81027C11131.9597722.199C’-C19420122、角度和边长观测值角号角度观测值°′″边号边长观测值(m)18643161221.650218222432195.843318859573229.356411523374189.78151312746598.163611308376154.773717633437148.337812309058151.48097004349187.7511020316411116540291216559583、导线网略图误差理论与测量平差基础课程设计第2页4、导线点及结点的近似坐标点号1234567X0(m)11547.10611351.62711127.71611067.43511147.02511101.94811093.055Y0(m)8414.9338403.0038353.3348430.7847876.2378017.5598168.778【选用间接平差方案的理由】⑴间接平差方法中的误差方程,形式统一,规律性较强,便于计算机的程序设计;⑵所选参数是平差后所需要的最后成果。【解题过程】本题n21,即有21个误差方程,其中12个角度误差方程,9个边长误差方程。必要观测数t=2×7=14。现选取待定点坐标平差值为参数,即77665544332211ˆˆˆˆˆˆˆˆˆˆˆˆˆˆˆYXYXYXYXYXYXYXX1.由已知点坐标及待定点近似坐标计算各边的近似方位角,近似边长,并算出系数a、b。列表如下:误差理论与测量平差基础课程设计第3页点名(角号)()观测角i°′″坐标方位角0°′″观测边长)(mS近似坐标近似边长)(0mScos0sin00SSa(″/mm)1000Sin"00sb(″/mm)-1000cos"00S)(0mX)(0mYA′A123B′B4864316182224318859571152337176334312309052742334181065018329331923025.68102744410.5221.650195.843229.356189.78111768.71411547.10611351.62711127.71610878.30211067.4358419.2428414.9338403.0038353.3348415.1148430.784221.650195.843229.3533189.7810-0.9998-0.9981-0.97630.9966-0.0194-0.0609-0.21660.0826002.70-0.0181-0.0641-0.19480.08970.93041.05130.8780-1.0831误差理论与测量平差基础课程设计第4页3C′C5673131274670043420316411654029165595811308373075339.81942012842449.81074127.493215679214898.163154.773148.337151.480187.75111127.71611131.95911147.02511101.94811093.05511127.7168353.3347722.1997876.2378014.5598168.7788353.33498.14429154.7730148.337151.480187.782590.61420.0973-0.3039-0.05870.1846-0.78910.99530.95270.99830.982818.71000-31.59-1.65851.32631.32471.35941.0795-1.2909-0.12970.42270.0799-0.2028误差理论与测量平差基础课程设计第5页2.由此可得误差方程:角度:111ˆ9304.0ˆ0181.0yxv22112ˆ0513.1ˆ0642.0ˆ9817.1ˆ0822.0yxyxv48.55ˆ8780.0ˆ1948.0ˆ9292.1ˆ2589.0ˆ0512.1ˆ0641.03322113yxyxyxv66.21ˆ2908.1ˆ6584.1ˆ1688.2ˆ0637.1ˆ8780.0ˆ1948.04433224yxyxyxv6.20ˆ2028.0ˆ0795.1ˆ2909.1ˆ6585.1ˆ0882.1ˆ7381.27744335yxyxyxv4.1ˆ2028.0ˆ0795.1ˆ0808.1ˆ2743.1ˆ8780.0ˆ1948.07733226yxyxyxv447ˆ0832.1ˆ0897.0yxv34.25ˆ374.2ˆ5686.1ˆ2908.1ˆ6584.144338yxyxv4ˆ1297.0ˆ3263.1559yxv6.3ˆ4227.0ˆ3247.1ˆ293.0ˆ651.2665510yxyxv4.0ˆ0799.0ˆ3593.1ˆ5025.0ˆ684.2ˆ4226.0ˆ3247.177665511yxyxyxv6ˆ1229.0ˆ4389.2ˆ0799.0ˆ3593.1ˆ2028.0ˆ0795.177663312yxyxyxv边长:111ˆ0194.0ˆ9998.0yxv22112ˆ0609.0ˆ9981.0ˆ0609.0ˆ9981.0yxyxv7.2ˆ2166.0ˆ9763.0ˆ2166.0ˆ9763.033223yxyxv444ˆ0826.0ˆ9966.0yxv71.18ˆ7891.0ˆ6142.0ˆ7891.0ˆ6142.044335yxyxv556ˆ9953.0ˆ0973.0yxv66557ˆ9527.0ˆ3039.0ˆ9527.0ˆ3039.0yxyxv77668ˆ9983.0ˆ0587.0ˆ9983.0ˆ0587.0yxyxv59.31ˆ9828.0ˆ1846.0ˆ9828.0ˆ1846.077339yxyxv3.确定角和边的权设单位权中误差"80,则角度观测值的权为1220iP各导线边的权为2222064.064mmmSpiSSiI秒45.01sp51.02Sp44.03Sp53.04Sp02.15Sp65.06Sp67.07Sp66.08Sp53.09Sp4.计算角度和边长误差方程的常数项,并列表如下

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