Increasing the accuracy of finding the coordinates of sea mines by means of kinematic design

Abstract

The issue of demining reservoirs, rivers and sea raids and ports, which is relevant for Europe during the period of active deployment of military confrontations on its territory, is considered. Only in the maritime territorial waters of Ukraine and in the water areas of its freshwater reservoirs and rivers, during the year of the war, the enemy laid up to a thousand different mines. Demining of the Ukrainian water spaces of the sea, reservoirs and rivers is an important social and economic problem, the solution of which does not tolerate delay and waiting for the full end of hostilities. The purpose of the work is the development of principle schemes for optimizing the spatial movements of search and mine clearance vessels and the creation of algorithms for calculating the precise coordinates of the spatial location of floating, anchor and bottom mines by means of kinematic design. The research methodology was the application of the theory of mapping coordinates and trajectories of spatial movements of moving objects by means of graphic geometry, taking into account the specifics and dynamic features of kinematic design. A schematic diagram of the spatial location of search trawlers and UAVs or auxiliary search floats when searching for mines has been developed. Mathematical dependencies have also been established for the precise calculation of the coordinates of detected mines based on the data of the applied theory and kinematic design schemes. For the search for floating mines, the optimal trajectory of search movements of unmanned aerial vehicles along the Archimedean spiral is proposed. The optimal number of aircraft that search for floating mines at the same time has been determined. As one of the most effective options for the disposal of mines, their detonation with warheads dropped from an aerial liquidator drone has been proposed. The main result of the study is the creation of a methodology for calculating the refined coordinates of the search for floating, anchor and bottom mines in combination with the optimization of the trajectories of the search movements of aerial and floating search vehicles along the Archimedean spiral. This ensures not only a 25–30 % increase in surveyed and demined areas, but also a proportional saving of fuel due to a reduction in the number of crossings of search trawlers. It has been established that at speeds of spatial movements of search aircraft or auxiliary floating means of 5÷5.5 m/s, using the proposed search scheme, it is possible to survey up to 6 square kilometers of sea water area every hour. At the same time, it is possible to save up to a third of the cost of expensive fuel due to the reduction of movements of the trawler boat.