Design of compound curves adapted to the satellite measurements

Abstract

The paper deals with a novelty related to the design of a region for an alternative railway track direction adequate for mobile satellite measurements. The new approach may become particularly useful in the design of the existing track axis control when the determination of both the main track directions becomes impossible. The only solution in that case is to apply to the geometrical system two circular arcs of a different radius, namely, to take advantage of compound curves. In the presented method the design of a new system is carried out by the use of the local system of coordinates. The solution of the design problem is aided by mathematical recording and is based on the determination of some universal equations describing the entire geometrical system. This procedure takes place sequentially involving consecutive parts of the system. The method has been illustrated by an appropriate calculation example.