New Approach to Arc Fitting for Railway Track Realignment

Abstract

This article presents a new method of arc fitting for railway track realignment. The theoretical foundations are presented, along with a detailed algorithm of the iterative computational process. This method is based on solving a set of linearized pseudo-observation equations. The formulas of the functional model of the fitting problem were derived, and a special form of objective function is proposed. An iterative method for optimization of objective functions is described, and an analysis of the functional model is presented. Specific conclusions are presented based on the results of this analysis.