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Construction of geodesic lines in the computer mathematics system “MathCAD”

DOI 10.18127/j19998554-201809-07

Keywords:

A.A. Dubanov – Ph.D. (Eng.), Associate Professor, Siberian State University of Telecommunication and Informatics
E-mail: alandubanov@mail.ru
M.N. Bildushkina – Senior Lecturer, Siberian State University of Telecommunication and Informatics
E-mail: bfsibguti@mail.ru


In the article the algorithms for constructing geodesic lines have been developed with respect to the pursuit problems. When analyzing the existing models of behavior in pursuit problems, both the pursuing object and the persecuted one, we found that in these models one doesn’t consider the possibility of moving over surfaces defined by a point basis. In our opinion, it is better to predict the prospective location of the pursued object using geodesic lines than using horizontal projections.
As programming environment, for clarity, the computer mathematics system "MathCAD" has been chosen. The choice of this system is not fundamental. Similar programs can be written in other systems (MATLAB, Maple, etc.). In any case, when programming microprocessors to implement the algorithm for constructing geodesic lines, it will be necessary to use languages like C++. 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". And the texts of programs are more adapted to the perception of structure of the algorithms. You can look through the program code for constructing geodetic lines to a moving point on the author's website http://dubanov.exponenta.ru.

References:
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