关于抵偿高程面与移动中央子午线最佳选取问题的研究

Study on the Optimal Selection of the Compensating Level Surface and Moving Middle Meridian

针对建立区域工程平面控制网为限制投影长度变形ΔS ,经常采用的抵偿高程面法与移动中央子午线法最佳值确定的问题 ,提出应在∑ΔS2 =min的条件下确定 ,进而分析、推证出最佳抵偿高程面之高程或相对于测区平均高程面之高程的公式 ,最佳移动中央子午线横坐标的公式 ,并视大。

This paper shows the problems of determining optimal numerical value in the ∑ΔS 2=min condition about the compensating level surface and the moving middle meridian that the method is frequently used to restrict projecting length deformation(ΔS) in establishing regional engineering plane control networks.The formulae about level of optimal compensating level surface or height difference that is relative to surveying regional average level surface and the formula about optimal abscissa for moving middle meridian are further analysed and proved, and are validated by big or small different surveying regions. It has determinated guide significance and application value on selecting optimal numerical values in engineering.