The article deals with sea and river commercial fisheries. It describes a possible way to increase the efficiency of the movements of fishing vessels when they are looking for accumulations (school) of fish. The improvement of the search movements of ships is based on the use of means and methods of kinematic design, which is part of modern descriptive geometry. In kinematic design, all design components are in independent spatial displacements at different speeds. In this case, the created mathematical dependencies make it possible to determine the coordinates of the spatial displacements of the design object, which here is the wanted accumulation (school) of fish. The basis of the proposed method for searching fish concentrations is the use of an additional search floating facility, such as a boat or motor boat. The fishing vessel and the auxiliary boat are equipped with search sonar equipment. A fishing vessel in the water area of the search area can drift or move at a slow speed along a given trajectory, and the search boat can accompany it and move around it along a circle of a certain radius, due to the range of the search equipment. The aim of the study was to create a methodology for increasing the efficiency of the movement of fishing vessels in search of fish concentrations. Among the main objectives of the study was the development of mathematical dependencies for determining the coordinates of the identified fish aggregations and creating a methodology for an approximate estimate of the volume of fish in its identified aggregation. The advantages of the proposed methodology for improving the search movements of fishing vessels are: - reduction of fuel consumption for the movement of the vessel in the water area of the investigated fish search area; - levelling by the kinematic design of the negative impact of false sonar signals reflected from the bottom of the reservoir. Keywords: marine fishing, fish search, sonar, sketch geometry, kinematic design, search trajectory, mathematical dependence.
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