CONSTRUCTION OF GEODESIC LINES APPLIED TO THE PROBLEM OF PERSECUTION IN THE SYSTEM OF COMPUTER MATHEMATICS «MATHCAD»

This article deals with the modeling of geodetic lines, with respect to the pursuit problem. When predicting the trajectory to the prospective location of the object of pursuit, it is preferable to use geodetic lines. For this, a local dynamic coordinate system is selected. The abscissa of a given coordinate system is a line belonging to the horizontal plane of projections and connecting the horizontal projections of the pursued point with the pursuing point. When solving a boundary problem with given boundary conditions in the form of the coordinates of points, the "shooting" method was used. To do this, a series of "shots" is produced from the haunting point in a given range of angles. Based on the results of a series of "shots", an interpolating curve is constructed, where the argument is the angle from the specified range, and the value is the minimum distance to the point of pursuit from the trajectory points. Further, by built-in means of computer mathematics systems, an angle is sought such that the minimum distance to the point of pursuit from the points of the trajectory is zero. As a programming environment, for clarity, the computer mathematics system "MathCAD" was chosen. The system "MathCAD" allows you to quickly and clearly make animated images, which allowed the results of the program to be placed on the channel "Youtube.com"

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