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Weighting of vertical angles

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Summary

According to the results of the adjustments of eight trigonometric and three-dimensional networks, the a priori variance m2(β) of the measured vertical angle β is expressed by the formula: m2(β) = m2(a) + [C 1/2γ m(k)]2, where m(a) represents accidental observation errors; the constant C is estimated in the interval 0.5–1.5 according to the number of repreated observations and the variation of their changes with time; γ is the angle between the normals to the ellipsoid at the initial and final point of the line of sight, and m(k) is the mean square error of the coefficient of refraction which can be estimated for a given network from Tab. 1.

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References

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Dedicated to 90th Birthday of Professor František Fiala

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Hradilek, L. Weighting of vertical angles. Stud Geophys Geod 17, 169–172 (1973). https://doi.org/10.1007/BF01613687

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