During designing a railway track, the accumulated errors in the transmission of coordinates affect the construction cost, change the conditions for designing tracks and the value of operating costs. If the grade of the track comes closer to the limiting grade, more accuracy is required to draw up the survey plan and terrain profile, and the more often geodetic control points are necessary. It is indicated that the calculation for the entire track is wrong based on errors in length due to errors in marks. The article provides a mathematical rationale for computation the error of the route survey grade as a function of the section length of the lines that have a steep slope. The influence of errors in determining the elevation and length on the line grade is considered. It is shown that the steeper the limiting grade the shorter should be the traverse of geodetic control.

在设计铁路轨道时，坐标传递中的累积误差会影响建造成本，改变轨道设计条件和运营成本的价值。如果轨道坡度接近极限坡度，则需要更高的精度来制定测量计划和地形剖面，并且需要更多的大地控制点。表明由于标记错误导致的基于长度错误的整个轨道的计算是错误的。本文提供了计算路线测量等级误差的数学原理，该误差是具有陡坡的线路的截面长度的函数。考虑了确定标高和长度的误差对线路坡度的影响。