ψ, λ網과 X, Y網의 調整에 關한 比較硏究

A Comparative Study on Simultaneous Adjustment of Geodetic Networks between with ψ, λ Coordinates and with X, YCoordinates

本 論文에서는 ψ, λ網과 X, Y網을 同時調整하는 프로그램을 작성하고, 調整計算한 結果를 比較分析하였다. 初期値로는 成果表上의 ψ, λ座標와 X, Y座標를 利用하였으며, 基準楕圓體로 Bessel値를 使用하였으며, 觀測에 대한 重量은 1로 가정하였다. 平面上으로 거리변환시에 原點縮尺係數를 1.0000으로 하였으며, ψ, λ에서 X, Y로의 投影은 Gauss의 二重投影을 적용하였다. 우리나라 一部地域의 實測데이타를 적용한 結果 平均位値誤差가 ψ, λ網에서는 6.2cm, X, Y網에서는 5.8cm로 나타났으며 두 방법에 의한 調整結果差의 RMSE가 1.7cm로 實用上 부합되는 結果를 주고 있다.

This paper deals with comparison of simultaneous geodetic networks between with geographical coordinates and with plane coordinates. The adjustment computation is performed by variation of coordinates. Provisional values for observation equations are computed by extended Guass mid-latitude formula using official coordinates (ψ, λ) in geographical network abjustment, measurements are reduced to plane by origin scale factor(=1.0000) Bessel ellipsoid and unit weight are adopted, and geographical coordinates are projected by Guass conformal double projection. The processing results of a test-network by distances yield the average root mean square error of position 6.2cm for adjustment with ψ, λ and 5.8cm for adjustment with X, Y. RMSE of discrepancy between two methods is 1.7cm. This result conform to required accracy.