设某经纬仪一测回方向观测中误差为±9″,欲使其一测回测角精度达到±5″,需要测多少个测回。

希望能给出详细的解答过程
2024-12-15 18:29:53
推荐回答(5个)
回答1:

一测回测角中误差(精度)=半测回方向值中误差,一测回方向值中误差(你的观测中误差)的平方=测角中误差的平方÷2,所以首先,你的2个误差顺序应该反过来。其次,测回次数跟一测回方向值中误差无关,各测回方向值中误差(该角精度)的平方=n一测回方向值中误差的平方

回答2:

7测回

一测回方向观测中误差9″,那么一测回测角中误差为9*根号2=12.728″,根据算术平均值的中误差公式:mx=m/√n得:12.728/√n=5″,n=(12.728/5)*(12.728/5)=6.48,故需要7个测回.

回答3:

一测回中误差9的除以根号次数, 即为最后的观测误差
所以 n等于3 应该取整所以至少需观测4个测回

回答4:

经纬仪一测回方向观测中误差,正转、逆转一般至少需要两个测回。

回答5:

3个测回

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