方向觀測與角度觀測對於後方交會定位精度之比較

On Comparing the Positioning Accuracy of Resection by Horizontal Angle and Direction Observations

白巨川(Chue-Chuan Pai)

《地籍測量：中華民國地籍測量學會會刊》 17卷1期 (1998/03) Pp. 1-18

https://doi.org/10.29609/YYWYLL.199803.0001

摘要

利用經緯儀實施後方交會定位，可以單角法測量二個獨立的水平角，亦可採用方向法觀測三個方向。在一般狀況下，且觀測量之精度相當時，以方向觀測之定位精度較佳。本文以定位線為工具，採用間接觀測平差數學公式配合幾何圓形予以分析說明。

關鍵字

定位線 ； 誤差橢圓 ； 誤差四邊形 ； 距離當量 ； 相關係數

並列摘要

The coordinates of a unknown point can be determined by two individual measured horizontal angle or a three-directions observation set by means of the resection method with theodolites. If the precision of observations in both measurement methods are equivalent, it is shown that the accuracy of positioning by the direction measurement method is in general better.In the paper, we use the position lines to constitute the observation equations and analyze the positioning accuracy by means of the indirect observation adjustment. The positioning accuracy affected by the position lines and zero orientation unknowns is also illustrated by the figures.

並列關鍵字

Position Line ； Error Quadrilateral ； Equivalent Distance ； Correlation Coefficient