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定位線之權及夾角對於交會點精度之影響

Influence of Position Lines on Intersection Precision

摘要


在平面坐標系一個新點P有二個未知數Np、Ep,至少需要二個適當的觀測量求解之。觀測量不論為水平角或水平距,每一個觀測量可以形成一條定位線,二條定位線之交點可能有一或二點,其中一點即為P點。本文簡要列出有關的數學公式並以例題說明定位線的權及夾角對於交會點精度之影響。

關鍵字

定位線 誤差橢圓 距離當量

並列摘要


In the two-dimensional Cartesian coordinate system, a new point P has two unknown coordinates Np and Ep. It is necessary to take at least two independent related observations for solving Np and Ep. Observations may be horizontal angles or distances, and each of them can deduce a position line. One of intersections of two position lines is the point P. In the paper, the corresponding formulae are derived. The influence of weights of position lines and included angle between two position lines on the precision of intersection point is illustrated by example.

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