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在公路、铁路、渠道及管线定位测量中,转点处采用的平曲线常为圆曲线。描述圆曲线有7个基本要素,在常规测量时,先给定曲线半径并实测转点偏角来计算其余的曲线要素。然而曲线半径和偏角在野外有时是未知的。为解决这一问题,本文介绍了牛顿—拉裴逊数值计算法。应用此法,只要给定任意两个要素,就可以计算出曲线半径和偏角。
In highway, railway, channel and pipeline positioning measurements, the flat curve used at the turning point is often a circular curve. Description of circular curve has seven basic elements, in the conventional measurement, given the curve radius and the measured point declination to calculate the remaining curve elements. However, the curve radius and declination are sometimes unknown in the wild. In order to solve this problem, this article introduced the Newton-Raphson numerical method. With this method, the radius and declination of the curve can be calculated by giving any two elements.